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Derivada de x*tanh^2(x/(x*sin(x^(exp(sinh(x))))))+(log(x^exp(x))+log(cos(x)/sin(x)))

Función f() - derivada -er orden en el punto
v

Gráfico:

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Definida a trozos:

Solución

Ha introducido [src]
                                 / / x\\              
      2/        x         \      | \e /|      /cos(x)\
x*tanh |------------------| + log\x    / + log|------|
       |     / / sinh(x)\\|                   \sin(x)/
       |     | \e       /||                           
       \x*sin\x          //                           
$$x \tanh^{2}{\left(\frac{x}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} + \left(\log{\left(x^{e^{x}} \right)} + \log{\left(\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} \right)}\right)$$
x*tanh(x/((x*sin(x^exp(sinh(x))))))^2 + log(x^exp(x)) + log(cos(x)/sin(x))
Primera derivada [src]
                                             /        2   \                                                                                                                                                                                      
                                             |     cos (x)|                                              /                          / / sinh(x)\\      / sinh(x)\ / sinh(x)                          \    / / sinh(x)\\\                         
                                             |-1 - -------|*sin(x)                                       |                          | \e       /|      \e       / |e                   sinh(x)       |    | \e       /||                         
                             x               |        2   |                                              |                     - sin\x          / - x*x          *|-------- + cosh(x)*e       *log(x)|*cos\x          /|                         
    2/        x         \   e     x          \     sin (x)/              /        2/        x         \\ |        1                                               \   x                              /                 |     /        x         \
tanh |------------------| + -- + e *log(x) + --------------------- + 2*x*|1 - tanh |------------------||*|------------------ + ----------------------------------------------------------------------------------------|*tanh|------------------|
     |     / / sinh(x)\\|   x                        cos(x)              |         |     / / sinh(x)\\|| |     / / sinh(x)\\                                           / / sinh(x)\\                                   |     |     / / sinh(x)\\|
     |     | \e       /||                                                |         |     | \e       /||| |     | \e       /|                                          2| \e       /|                                   |     |     | \e       /||
     \x*sin\x          //                                                \         \x*sin\x          /// \x*sin\x          /                                     x*sin \x          /                                   /     \x*sin\x          //
$$2 x \left(1 - \tanh^{2}{\left(\frac{x}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}\right) \left(\frac{1}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{- x x^{e^{\sinh{\left(x \right)}}} \left(e^{\sinh{\left(x \right)}} \log{\left(x \right)} \cosh{\left(x \right)} + \frac{e^{\sinh{\left(x \right)}}}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{x \sin^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}\right) \tanh{\left(\frac{x}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} + \frac{\left(-1 - \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} + e^{x} \log{\left(x \right)} + \tanh^{2}{\left(\frac{x}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} + \frac{e^{x}}{x}$$
Segunda derivada [src]
                                                                                                                                                                                      2                                                                                           2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
                                                                                                /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\      /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                                                            /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                                       /                                                                                                                                                                                                  /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\    / / sinh(x)\\                                                                \                                
                                                                                                |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||      |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                                                                                            |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                                                                       |                                                                                                                                                                             /1                 \ |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    | \e       /|                                                                |                                
                                                                                              2 |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|      |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                                                                                            |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                             / sinh(x)\                                |                            / / sinh(x)\\                                                              / / sinh(x)\\                         2    / / sinh(x)\\            2*|- + cosh(x)*log(x)|*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*cos\x          /      / sinh(x)\                     2             / / sinh(x)\\|                                
                                              /       2   \     /         2/       1        \\  |                   \x                 /                                             |      |                   \x                 /                                             |      2/       1        \ /         2/       1        \\     /         2/       1        \\ |                   \x                 /                                             |     /       1        \      \e       / /         2/       1        \\ |    /1                 \    | \e       /|     /  1        2                              2*cosh(x)\    | \e       /|     /1                 \     | \e       /|  sinh(x)     \x                 / \              \x                 /                                             /                       \e       / /1                 \   sinh(x)    | \e       /||  sinh(x)     /       1        \
                                         2    |    cos (x)|   2*|-1 + tanh |----------------|| *|-1 + -------------------------------------------------------------------------------|    4*|-1 + -------------------------------------------------------------------------------| *tanh |----------------|*|-1 + tanh |----------------||   4*|-1 + tanh |----------------||*|-1 + -------------------------------------------------------------------------------|*tanh|----------------|   2*x          *|-1 + tanh |----------------||*|- 2*|- + cosh(x)*log(x)|*cos\x          / - x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / - x*|- + cosh(x)*log(x)| *cos\x          /*e        + ------------------------------------------------------------------------------------------------------------------------- + x*x          *|- + cosh(x)*log(x)| *e       *sin\x          /|*e       *tanh|----------------|
                                      sin (x)*|1 + -------|     |          |   / / sinh(x)\\||  |                                        / / sinh(x)\\                               |      |                                        / / sinh(x)\\                               |       |   / / sinh(x)\\| |          |   / / sinh(x)\\||     |          |   / / sinh(x)\\|| |                                        / / sinh(x)\\                               |     |   / / sinh(x)\\|                 |          |   / / sinh(x)\\|| |    \x                 /                      |   2                                          x    |                      \x                 /                                                                                      / / sinh(x)\\                                                                     \x                 /                           |              |   / / sinh(x)\\|
       2                   x      x           |       2   |     |          |   | \e       /|||  |                                        | \e       /|                               |      |                                        | \e       /|                               |       |   | \e       /|| |          |   | \e       /|||     |          |   | \e       /||| |                                        | \e       /|                               |     |   | \e       /||                 |          |   | \e       /||| |                                              \  x                                                /                                                                                                                                | \e       /|                                                                                                                    |              |   | \e       /||
    cos (x)    x          e    2*e            \    sin (x)/     \          \sin\x          ///  \                                     sin\x          /                               /      \                                     sin\x          /                               /       \sin\x          // \          \sin\x          ///     \          \sin\x          /// \                                     sin\x          /                               /     \sin\x          //                 \          \sin\x          /// \                                                                                                                                                                                                                                sin\x          /                                                                                                                    /              \sin\x          //
1 + ------- + e *log(x) - -- + ---- - --------------------- + ------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------ + ---------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       2                   2    x               2                                                                      / / sinh(x)\\                                                                                                                          / / sinh(x)\\                                                                                                                                     / / sinh(x)\\                                                                                                                                                                                                                                                                                      / / sinh(x)\\                                                                                                                                                                                                                 
    sin (x)               x                  cos (x)                                                                  2| \e       /|                                                                                                                         2| \e       /|                                                                                                                                     | \e       /|                                                                                                                                                                                                                                                                                     2| \e       /|                                                                                                                                                                                                                 
                                                                                                                 x*sin \x          /                                                                                                                    x*sin \x          /                                                                                                                                x*sin\x          /                                                                                                                                                                                                                                                                                  sin \x          /                                                                                                                                                                                                                 
$$- \frac{2 x^{e^{\sinh{\left(x \right)}}} \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - x \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \frac{2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}} \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{\sin^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - \frac{\left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + e^{x} \log{\left(x \right)} + 1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}} + \frac{2 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)^{2} \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right)^{2}}{x \sin^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{4 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)^{2} \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right) \tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{x \sin^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{4 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right) \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right) \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{2 e^{x}}{x} - \frac{e^{x}}{x^{2}}$$
Tercera derivada [src]
                                                                                                                                                                                   /                                                                                    /     / sinh(x)\                         / / sinh(x)\\         \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
                                                                                                                                                                                   |                                                                                    |     \e       / /1                 \    | \e       /|  sinh(x)|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
                                                                                                                                                                                   |                                                                                    |    x          *|- + cosh(x)*log(x)|*cos\x          /*e       | /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
                                                                                                                                                                                   |                                                                                    |1               \x                 /                          | |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       / sinh(x)\ /                          / / sinh(x)\\                                                              / / sinh(x)\\                         2    / / sinh(x)\\               / sinh(x)\                     2             / / sinh(x)\\\                                                                                                                                                                                                                                                                                                                                                                                                                                                           / sinh(x)\ /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                          / / sinh(x)\\                  sinh(x)                      /                          / / sinh(x)\\                                                              / / sinh(x)\\                         2    / / sinh(x)\\               / sinh(x)\                     2             / / sinh(x)\\\    / / sinh(x)\\                                                                                                                                                            |                                                                                                                                                  2                                                                                           3                                                                                                                                                   2                                                                                                                                                                                   3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   
                                                                                                                                                                                   |     / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\   |- + ----------------------------------------------------------|*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \e       / |  /1                 \    | \e       /|     /  1        2                              2*cosh(x)\    | \e       /|     /1                 \     | \e       /|  sinh(x)      \e       / /1                 \   sinh(x)    | \e       /||  sinh(x)                                                                                                                                            sinh(x)                     2     / / sinh(x)\\ /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                 / sinh(x)\                     2 /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\    / / sinh(x)\\                 \e       / |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /|| /  1        2                              2*cosh(x)\    | \e       /|  sinh(x)      2*e        /1                 \ |  /1                 \    | \e       /|     /  1        2                              2*cosh(x)\    | \e       /|     /1                 \     | \e       /|  sinh(x)      \e       / /1                 \   sinh(x)    | \e       /||    | \e       /|  2*sinh(x)      / sinh(x)\                      /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\    / / sinh(x)\\         |                                                            /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\      /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                              /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                                                              /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\                                                                         /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\ /                                                                                                                                                                                                  /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\    / / sinh(x)\\                                                                \                                                         /                                                                                                                                                                                                  /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\    / / sinh(x)\\                                                                \                                                                                                         /        / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\ /                                                                                                                                                                                                  /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\    / / sinh(x)\\                                                                \         
                                                                                                                                                                                   |     \e       / /1                 \    | \e       /|  sinh(x)      | \e       /|   |x                           / / sinh(x)\\                     | \              \x                 /                                             /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      x          *|2*|- + cosh(x)*log(x)|*cos\x          / + x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / + x*|- + cosh(x)*log(x)| *cos\x          /*e        - x*x          *|- + cosh(x)*log(x)| *e       *sin\x          /|*e                                                                                                                                                2*e        /1                 \     2| \e       /| |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||  2*sinh(x)      \e       / /1                 \  |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    | \e       /|  2*sinh(x)   2*x          *|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          /*e          4*x          *|- + cosh(x)*log(x)|*|2*|- + cosh(x)*log(x)|*cos\x          / + x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / + x*|- + cosh(x)*log(x)| *cos\x          /*e        - x*x          *|- + cosh(x)*log(x)| *e       *sin\x          /|*cos\x          /*e               \e       / /1                 \ |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    | \e       /|  sinh(x)|                                                            |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||      |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                                                              |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                                                                                              |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||                                                                         |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /|| |                                                                                                                                                                             /1                 \ |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    | \e       /|                                                                |                                                         |                                                                                                                                                                             /1                 \ |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    | \e       /|                                                                |                                                                                                         |        \e       / /1                 \    | \e       /|  sinh(x)      | \e       /|| |                                                                                                                                                                             /1                 \ |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||    | \e       /|                                                                |         
                                                                                                                                                                                   |  x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /   |                            | \e       /|                     |                                                                                      / sinh(x)\ /                                                             / / sinh(x)\\     /                                                          2                                          \    / / sinh(x)\\                         2    / / sinh(x)\\                                  3    / / sinh(x)\\                 / sinh(x)\                     2             / / sinh(x)\\         sinh(x)                     3    / / sinh(x)\\                                                                                                / / sinh(x)\\                 / sinh(x)\                     3               / / sinh(x)\\        / sinh(x)\                                                                                        / / sinh(x)\\\                        |  \x                 /                      |   2                                          x    |                      \x                 /                                            \x                 /                           |                  sinh(x)                     2 /   / sinh(x)\                         / / sinh(x)\\               / / sinh(x)\\\              6*x          *|- + cosh(x)*log(x)| *cos \x          /*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*e            2*x          *|- + cosh(x)*log(x)| *|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*cos\x          /*e                          \              \x                 /                                             / |   2                                          x    |                                           \x                 / |  \x                 /                      |   2                                          x    |                      \x                 /                                            \x                 /                           |                               3*x          *|- + cosh(x)*log(x)|*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*cos\x          /*e       |                                                          2 |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|      |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                                                              |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                                                                                            2 |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|                              / sinh(x)\                               2 |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /| |                            / / sinh(x)\\                                                              / / sinh(x)\\                         2    / / sinh(x)\\            2*|- + cosh(x)*log(x)|*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*cos\x          /      / sinh(x)\                     2             / / sinh(x)\\|               / sinh(x)\                                |                            / / sinh(x)\\                                                              / / sinh(x)\\                         2    / / sinh(x)\\            2*|- + cosh(x)*log(x)|*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*cos\x          /      / sinh(x)\                     2             / / sinh(x)\\|                                       / sinh(x)\                                                        |     x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /| |                            / / sinh(x)\\                                                              / / sinh(x)\\                         2    / / sinh(x)\\            2*|- + cosh(x)*log(x)|*|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*cos\x          /      / sinh(x)\                     2             / / sinh(x)\\|         
                                                          /         4           2   \                    /       2   \     /       2   \            /         2/       1        \\ |                \x                 /                                                \                         sin\x          /                     /                                                                                      \e       / |    /  1        2                              2*cosh(x)\    | \e       /|     |2        3                              3*cosh(x)   3*cosh (x)   3*sinh(x)                           |    | \e       /|     /1                 \     | \e       /|  sinh(x)     /1                 \     | \e       /|  2*sinh(x)      \e       / /1                 \   sinh(x)    | \e       /|      2*e        /1                 \     | \e       /|  2*sinh(x)       /1                 \ /  1        2                              2*cosh(x)\    | \e       /|  sinh(x)        \e       / /1                 \   2*sinh(x)    | \e       /|        \e       / /1                 \ /  1        2                              2*cosh(x)\  sinh(x)    | \e       /||  sinh(x)               \                                            \  x                                                /                                                                                                                                     /               2*e        /1                 \  |   \e       / /1                 \    | \e       /|  sinh(x)      | \e       /||  2*sinh(x)                 \x                 /                    \              \x                 /                                             /                            \x                 /  \              \x                 /                                             /                                                                                                                               \  x                                                /                                                                \                                            \  x                                                /                                                                                                                                     /                                             \x                 / \              \x                 /                                             /                          |     /       1        \     /         2/       1        \\  |                   \x                 /                                             |      |                   \x                 /                                             |      3/       1        \ /         2/       1        \\      |                   \x                 /                                             |      2/       1        \ /         2/       1        \\      /         2/       1        \\  |                   \x                 /                                             |      /       1        \      \e       / /         2/       1        \\  |                   \x                 /                                             | |    /1                 \    | \e       /|     /  1        2                              2*cosh(x)\    | \e       /|     /1                 \     | \e       /|  sinh(x)     \x                 / \              \x                 /                                             /                       \e       / /1                 \   sinh(x)    | \e       /||  sinh(x)      \e       / /         2/       1        \\ |    /1                 \    | \e       /|     /  1        2                              2*cosh(x)\    | \e       /|     /1                 \     | \e       /|  sinh(x)     \x                 / \              \x                 /                                             /                       \e       / /1                 \   sinh(x)    | \e       /||  sinh(x)     /       1        \       \e       /     2/       1        \ /         2/       1        \\ |                   \x                 /                                             | |    /1                 \    | \e       /|     /  1        2                              2*cosh(x)\    | \e       /|     /1                 \     | \e       /|  sinh(x)     \x                 / \              \x                 /                                             /                       \e       / /1                 \   sinh(x)    | \e       /||  sinh(x)
                                                          |    3*cos (x)   4*cos (x)|               3    |    cos (x)|     |    cos (x)|          2*|-1 + tanh |----------------||*|- ------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------- + x          *|- 3*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / - x*|-- + cosh (x)*log(x) + cosh(x)*log(x) - --------- + ---------- + --------- + 3*cosh(x)*log(x)*sinh(x)|*cos\x          / - 3*|- + cosh(x)*log(x)| *cos\x          /*e        - x*|- + cosh(x)*log(x)| *cos\x          /*e          + 3*x          *|- + cosh(x)*log(x)| *e       *sin\x          / + x*x          *|- + cosh(x)*log(x)| *cos\x          /*e          - 3*x*|- + cosh(x)*log(x)|*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          /*e        + 3*x*x          *|- + cosh(x)*log(x)| *e         *sin\x          / + 3*x*x          *|- + cosh(x)*log(x)|*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*e       *sin\x          /|*e        + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 2*x          *|- + cosh(x)*log(x)| *|x*x          *|- + cosh(x)*log(x)|*cos\x          /*e        + sin\x          /|*e          - -------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------|*tanh|----------------|   6*|-1 + tanh |----------------|| *|-1 + -------------------------------------------------------------------------------|    8*|-1 + -------------------------------------------------------------------------------| *tanh |----------------|*|-1 + tanh |----------------||   12*|-1 + -------------------------------------------------------------------------------| *tanh |----------------|*|-1 + tanh |----------------||   16*|-1 + tanh |----------------|| *|-1 + -------------------------------------------------------------------------------| *tanh|----------------|   6*x          *|-1 + tanh |----------------|| *|-1 + -------------------------------------------------------------------------------|*|- 2*|- + cosh(x)*log(x)|*cos\x          / - x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / - x*|- + cosh(x)*log(x)| *cos\x          /*e        + ------------------------------------------------------------------------------------------------------------------------- + x*x          *|- + cosh(x)*log(x)| *e       *sin\x          /|*e          6*x          *|-1 + tanh |----------------||*|- 2*|- + cosh(x)*log(x)|*cos\x          / - x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / - x*|- + cosh(x)*log(x)| *cos\x          /*e        + ------------------------------------------------------------------------------------------------------------------------- + x*x          *|- + cosh(x)*log(x)| *e       *sin\x          /|*e       *tanh|----------------|   12*x          *tanh |----------------|*|-1 + tanh |----------------||*|-1 + -------------------------------------------------------------------------------|*|- 2*|- + cosh(x)*log(x)|*cos\x          / - x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x          / - x*|- + cosh(x)*log(x)| *cos\x          /*e        + ------------------------------------------------------------------------------------------------------------------------- + x*x          *|- + cosh(x)*log(x)| *e       *sin\x          /|*e       
                                                        2*|1 + --------- + ---------|*sin(x)   2*sin (x)*|1 + -------|   2*|1 + -------|*sin(x)     |          |   / / sinh(x)\\|| |                                          2                                                                                                                 x                                                                                        |    |   2                                          x    |                      | 3                                           2          x            x                               |                      \x                 /                                \x                 /                                              \x                 /                                            \x                 /                                    \x                 / |   2                                          x    |                                             \x                 /                                                \x                 / |   2                                          x    |                          |                                                                                                                                          x                                                                                                                                               \x                 /  \              \x                 /                                             /                                                                                  / / sinh(x)\\                                                                                                                                        / / sinh(x)\\                                                                                                                                                      / / sinh(x)\\                                                                                                                                                                                                                                 / / sinh(x)\\                                                                                                                                                                                                                 / / sinh(x)\\                                                              |     |   / / sinh(x)\\|     |          |   / / sinh(x)\\||  |                                        / / sinh(x)\\                               |      |                                        / / sinh(x)\\                               |       |   / / sinh(x)\\| |          |   / / sinh(x)\\||      |                                        / / sinh(x)\\                               |       |   / / sinh(x)\\| |          |   / / sinh(x)\\||      |          |   / / sinh(x)\\||  |                                        / / sinh(x)\\                               |      |   / / sinh(x)\\|                 |          |   / / sinh(x)\\||  |                                        / / sinh(x)\\                               | |    \x                 /                      |   2                                          x    |                      \x                 /                                                                                      / / sinh(x)\\                                                                     \x                 /                           |                          |          |   / / sinh(x)\\|| |    \x                 /                      |   2                                          x    |                      \x                 /                                                                                      / / sinh(x)\\                                                                     \x                 /                           |              |   / / sinh(x)\\|                       |   / / sinh(x)\\| |          |   / / sinh(x)\\|| |                                        / / sinh(x)\\                               | |    \x                 /                      |   2                                          x    |                      \x                 /                                                                                      / / sinh(x)\\                                                                     \x                 /                           |         
               x      x      x        3                   |        4           2    |                    |       2   |     |       2   |            |          |   | \e       /||| |                                         x                                                                                                                                                                                                           \    \  x                                                /                      \x                                           x                                                        /                                                                                                                                                                                                                                                                                         \  x                                                /                                                                                                                                      \  x                                                /                          /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  2| \e       /|                                                                                                                                        | \e       /|                                                                                                                                                      | \e       /|                                                                                                                                                                                                                                 | \e       /|                                                                                                                                                                                                                 | \e       /|                                                              |     |   | \e       /||     |          |   | \e       /|||  |                                        | \e       /|                               |      |                                        | \e       /|                               |       |   | \e       /|| |          |   | \e       /|||      |                                        | \e       /|                               |       |   | \e       /|| |          |   | \e       /|||      |          |   | \e       /|||  |                                        | \e       /|                               |      |   | \e       /||                 |          |   | \e       /|||  |                                        | \e       /|                               | |                                              \  x                                                /                                                                                                                                | \e       /|                                                                                                                    |                          |          |   | \e       /||| |                                              \  x                                                /                                                                                                                                | \e       /|                                                                                                                    |              |   | \e       /||                       |   | \e       /|| |          |   | \e       /||| |                                        | \e       /|                               | |                                              \  x                                                /                                                                                                                                | \e       /|                                                                                                                    |         
 x          3*e    2*e    3*e    4*cos (x)   4*cos(x)     \     sin (x)     sin (x) /                    \    sin (x)/     \    sin (x)/            \          \sin\x          /// \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               sin \x          /                                                                                                                                     sin\x          /                                                                                                                                                   sin\x          /                                                                                                                                                                                                                              sin\x          /                                                                                                                                                                                                            x*sin\x          /                                                              /     \sin\x          //     \          \sin\x          ///  \                                     sin\x          /                               /      \                                     sin\x          /                               /       \sin\x          // \          \sin\x          ///      \                                     sin\x          /                               /       \sin\x          // \          \sin\x          ///      \          \sin\x          ///  \                                     sin\x          /                               /      \sin\x          //                 \          \sin\x          ///  \                                     sin\x          /                               / \                                                                                                                                                                                                                                sin\x          /                                                                                                                    /                          \          \sin\x          /// \                                                                                                                                                                                                                                sin\x          /                                                                                                                    /              \sin\x          //                       \sin\x          // \          \sin\x          /// \                                     sin\x          /                               / \                                                                                                                                                                                                                                sin\x          /                                                                                                                    /         
e *log(x) - ---- + ---- + ---- + --------- + -------- - ------------------------------------ - ----------------------- + ---------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
              2      3     x         3        sin(x)                   cos(x)                             3                      cos(x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            / / sinh(x)\\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           / / sinh(x)\\                                                                                                                          / / sinh(x)\\                                                                                                                                       / / sinh(x)\\                                                                                                                                       / / sinh(x)\\                                                                                                                                                                                                                                                                                                                       / / sinh(x)\\                                                                                                                                                                                                                                                                                                                                                                                                                                                                          / / sinh(x)\\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     / / sinh(x)\\                                                                                                                                                                                                                                                             
             x      x             sin (x)                                                              cos (x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2| \e       /|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     2    2| \e       /|                                                                                                                    2    3| \e       /|                                                                                                                                 2    2| \e       /|                                                                                                                                 2    3| \e       /|                                                                                                                                                                                                                                                                                                                      3| \e       /|                                                                                                                                                                                                                                                                                                                                                                                                                                                                         2| \e       /|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    3| \e       /|                                                                                                                                                                                                                                                             
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               sin \x          /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x *sin \x          /                                                                                                                   x *sin \x          /                                                                                                                                x *sin \x          /                                                                                                                                x *sin \x          /                                                                                                                                                                                                                                                                                                                 x*sin \x          /                                                                                                                                                                                                                                                                                                                                                                                                                                                                    x*sin \x          /                                                                                                                                                                                                                                                                                                                                                                                                                                                                               x*sin \x          /                                                                                                                                                                                                                                                             
$$- \frac{2 \left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin^{3}{\left(x \right)}}{\cos^{3}{\left(x \right)}} + \frac{2 \left(1 + \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} - \frac{2 \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right) \left(- 2 x^{2 e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{2 \sinh{\left(x \right)}} - \frac{6 x^{2 e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{2 \sinh{\left(x \right)}} \cos^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{4 x^{2 e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(- x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + 2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{2 \sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{2 x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{2 \sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{2 x^{e^{\sinh{\left(x \right)}}} \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + x^{e^{\sinh{\left(x \right)}}} \left(x x^{2 e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{3} e^{2 \sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + 3 x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{3} e^{2 \sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + 3 x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{3} e^{2 \sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - 3 x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - x \left(3 \log{\left(x \right)} \sinh{\left(x \right)} \cosh{\left(x \right)} + \log{\left(x \right)} \cosh^{3}{\left(x \right)} + \log{\left(x \right)} \cosh{\left(x \right)} + \frac{3 \sinh{\left(x \right)}}{x} + \frac{3 \cosh^{2}{\left(x \right)}}{x} - \frac{3 \cosh{\left(x \right)}}{x^{2}} + \frac{2}{x^{3}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + 3 x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - 3 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - 3 \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}} - \frac{3 x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{x \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{x^{e^{\sinh{\left(x \right)}}} \left(- x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + x \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + 2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}}}{x} + \frac{\left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) \left(\frac{x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{1}{x}\right)}{x} - \frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{x^{2}}\right) \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{\sin^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - \frac{2 \left(1 + \frac{4 \cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}} + \frac{3 \cos^{4}{\left(x \right)}}{\sin^{4}{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} + e^{x} \log{\left(x \right)} + \frac{4 \cos{\left(x \right)}}{\sin{\left(x \right)}} + \frac{4 \cos^{3}{\left(x \right)}}{\sin^{3}{\left(x \right)}} - \frac{6 x^{e^{\sinh{\left(x \right)}}} \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right) \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right)^{2} \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - x \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \frac{2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}}}{x \sin^{3}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - \frac{12 x^{e^{\sinh{\left(x \right)}}} \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right) \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - x \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \frac{2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}} \tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{x \sin^{3}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - \frac{6 x^{e^{\sinh{\left(x \right)}}} \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - x \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} - x \left(\log{\left(x \right)} \sinh{\left(x \right)} + \log{\left(x \right)} \cosh^{2}{\left(x \right)} + \frac{2 \cosh{\left(x \right)}}{x} - \frac{1}{x^{2}}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \frac{2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \left(x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 2 \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)}\right) e^{\sinh{\left(x \right)}} \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{x \sin^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{3 e^{x}}{x} + \frac{16 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)^{3} \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right)^{2} \tanh{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{x^{2} \sin^{3}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{8 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)^{3} \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right) \tanh^{3}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{x^{2} \sin^{3}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{6 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)^{2} \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right)^{2}}{x^{2} \sin^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} + \frac{12 \left(\frac{x x^{e^{\sinh{\left(x \right)}}} \left(\log{\left(x \right)} \cosh{\left(x \right)} + \frac{1}{x}\right) e^{\sinh{\left(x \right)}} \cos{\left(x^{e^{\sinh{\left(x \right)}}} \right)} + \sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - 1\right)^{2} \left(\tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)} - 1\right) \tanh^{2}{\left(\frac{1}{\sin{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} \right)}}{x^{2} \sin^{2}{\left(x^{e^{\sinh{\left(x \right)}}} \right)}} - \frac{3 e^{x}}{x^{2}} + \frac{2 e^{x}}{x^{3}}$$