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Derivada de:
Derivada de 4/x
Derivada de 4^x
Derivada de (x-1)/(x+1)
Derivada de (x)^(1/2)
Expresiones idénticas
x*exp(-xlog(uno + uno /cos(dos *x))+(cos(x)+cos(tres *x))/(sin(x)+sin(tres *x)))
x multiplicar por exponente de ( menos x logaritmo de (1 más 1 dividir por coseno de (2 multiplicar por x)) más ( coseno de (x) más coseno de (3 multiplicar por x)) dividir por ( seno de (x) más seno de (3 multiplicar por x)))
x multiplicar por exponente de ( menos x logaritmo de (uno más uno dividir por coseno de (dos multiplicar por x)) más ( coseno de (x) más coseno de (tres multiplicar por x)) dividir por ( seno de (x) más seno de (tres multiplicar por x)))
xexp(-xlog(1+1/cos(2x))+(cos(x)+cos(3x))/(sin(x)+sin(3x)))
xexp-xlog1+1/cos2x+cosx+cos3x/sinx+sin3x
x*exp(-xlog(1+1 dividir por cos(2*x))+(cos(x)+cos(3*x)) dividir por (sin(x)+sin(3*x)))
Expresiones semejantes
x*exp(-xlog(1+1/cos(2*x))+(cos(x)+cos(3*x))/(sin(x)-sin(3*x)))
x*exp(-xlog(1+1/cos(2*x))+(cos(x)-cos(3*x))/(sin(x)+sin(3*x)))
x*exp(xlog(1+1/cos(2*x))+(cos(x)+cos(3*x))/(sin(x)+sin(3*x)))
x*exp(-xlog(1-1/cos(2*x))+(cos(x)+cos(3*x))/(sin(x)+sin(3*x)))
x*exp(-xlog(1+1/cos(2*x))-(cos(x)+cos(3*x))/(sin(x)+sin(3*x)))
x*exp(-xlog(1+1/cos(2*x))+(cosx+cos(3*x))/(sinx+sin(3*x)))
Expresiones con funciones
Exponente exp
exp(x)/(exp(x)-1)
exp(1/x)
exp(x^1/2)
exp(2*x)
exp(8*x)
xlog
xlog(x)-x
xloge(-x)
xlog10(x)
xlog(x)-4,78
xlog(x,2)
Coseno cos
cos
cos^3(x)
cos(y^2)
cosx-1
cos^2(x)
Coseno cos
cos
cos^3(x)
cos(y^2)
cosx-1
cos^2(x)
Coseno cos
cos
cos^3(x)
cos(y^2)
cosx-1
cos^2(x)
Seno sin
sin(x)^(2)
sin(x^2+1)
sin^3(2x)
sin(x)^(9)
sin(lnx)
Seno sin
sin(x)^(2)
sin(x^2+1)
sin^3(2x)
sin(x)^(9)
sin(lnx)

Derivada de la función/ x*exp(-xlog(1+1/cos(2*x))+(cos(x)+cos(3*x))/(sin(x)+sin(3*x)))

Derivada de xexp(-xlog(1+1/cos(2x))+(cos(x)+cos(3x))/(sin(x)+sin(3x)))

Solución

Ha introducido [src]

         /       1    \   cos(x) + cos(3*x)
   -x*log|1 + --------| + -----------------
         \    cos(2*x)/   sin(x) + sin(3*x)
x*e

x e^{- x \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\cos{\left(x \right)} + \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}}}

x*exp((-x)*log(1 + 1/cos(2*x)) + (cos(x) + cos(3*x))/(sin(x) + sin(3*x)))

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

                                                                                                                              /       1    \   cos(x) + cos(3*x)          /       1    \   cos(x) + cos(3*x)
                                                                                                                        -x*log|1 + --------| + -----------------    -x*log|1 + --------| + -----------------
  /     /       1    \   -sin(x) - 3*sin(3*x)   (-cos(x) - 3*cos(3*x))*(cos(x) + cos(3*x))         2*x*sin(2*x)      \        \    cos(2*x)/   sin(x) + sin(3*x)          \    cos(2*x)/   sin(x) + sin(3*x)
x*|- log|1 + --------| + -------------------- + ------------------------------------------ - ------------------------|*e                                         + e                                        
  |     \    cos(2*x)/    sin(x) + sin(3*x)                                   2              /       1    \    2     |                                                                                      
  |                                                        (sin(x) + sin(3*x))               |1 + --------|*cos (2*x)|                                                                                      
  \                                                                                          \    cos(2*x)/          /

x \left(- \frac{2 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} + \frac{- \sin{\left(x \right)} - 3 \sin{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} - \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\left(- \cos{\left(x \right)} - 3 \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}}\right) e^{- x \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\cos{\left(x \right)} + \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}}} + e^{- x \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\cos{\left(x \right)} + \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}}}

Simplificar

Segunda derivada [src]

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 cos(x) + cos(3*x)        /       1    \
/                          /                                                                                                                2                                                                                                                                                 2                                                                                   2                           2           \                                                                                                   \  ----------------- - x*log|1 + --------|
|       /       1    \     |/3*sin(3*x) + sin(x)   (3*cos(3*x) + cos(x))*(cos(x) + cos(3*x))         2*x*sin(2*x)            /       1    \\    9*cos(3*x) + cos(x)   (9*sin(3*x) + sin(x))*(cos(x) + cos(3*x))             4*x                    4*sin(2*x)          2*(3*cos(3*x) + cos(x)) *(cos(x) + cos(3*x))   2*(3*cos(3*x) + cos(x))*(3*sin(3*x) + sin(x))        8*x*sin (2*x)               4*x*sin (2*x)      |   2*(3*sin(3*x) + sin(x))   2*(3*cos(3*x) + cos(x))*(cos(x) + cos(3*x))         4*x*sin(2*x)      |  sin(x) + sin(3*x)        \    cos(2*x)/
|- 2*log|1 + --------| + x*||------------------- + ----------------------------------------- + ------------------------ + log|1 + --------||  - ------------------- + ----------------------------------------- - ----------------------- - ------------------------ + -------------------------------------------- + --------------------------------------------- - ------------------------ + -------------------------| - ----------------------- - ------------------------------------------- - ------------------------|*e                                       
|       \    cos(2*x)/     || sin(x) + sin(3*x)                                  2             /       1    \    2           \    cos(2*x)/|     sin(x) + sin(3*x)                                  2             /       1    \            /       1    \    2                                       3                                               2               /       1    \    3                      2          |      sin(x) + sin(3*x)                                     2              /       1    \    2     |                                         
|                          ||                                 (sin(x) + sin(3*x))              |1 + --------|*cos (2*x)                    |                                     (sin(x) + sin(3*x))              |1 + --------|*cos(2*x)   |1 + --------|*cos (2*x)               (sin(x) + sin(3*x))                             (sin(x) + sin(3*x))                |1 + --------|*cos (2*x)   /       1    \     4     |                                         (sin(x) + sin(3*x))               |1 + --------|*cos (2*x)|                                         
|                          |\                                                                  \    cos(2*x)/                              /                                                                      \    cos(2*x)/            \    cos(2*x)/                                                                                                            \    cos(2*x)/             |1 + --------| *cos (2*x)|                                                                           \    cos(2*x)/          |                                         
\                          \                                                                                                                                                                                                                                                                                                                                                                     \    cos(2*x)/           /                                                                                                   /

\left(x \left(- \frac{8 x \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{3}{\left(2 x \right)}} - \frac{4 x}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos{\left(2 x \right)}} + \frac{4 x \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{2} \cos^{4}{\left(2 x \right)}} + \left(\frac{2 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} + \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{\left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}}\right)^{2} - \frac{\cos{\left(x \right)} + 9 \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{2 \left(\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} + \frac{\left(\sin{\left(x \right)} + 9 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} + \frac{2 \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)^{2}}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{3}} - \frac{4 \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}}\right) - \frac{4 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} - 2 \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} - \frac{2 \left(\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}\right)}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} - \frac{2 \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}}\right) e^{- x \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\cos{\left(x \right)} + \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}}}

Simplificar

Tercera derivada [src]

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       cos(x) + cos(3*x)        /       1    \
/                                                                                                                  2     /                                                                                                                3                                                                                                                                             /                                                                                         2                                                                                                                                         2                          2           \                                                                                       2                                                                                                                                     2                                                3                                   2                            3                                                                                                                           3                                                     3          \                                                                                                                                                       2                                                                                    2                           2          \  ----------------- - x*log|1 + --------|
|  /3*sin(3*x) + sin(x)   (3*cos(3*x) + cos(x))*(cos(x) + cos(3*x))         2*x*sin(2*x)            /       1    \\      |/3*sin(3*x) + sin(x)   (3*cos(3*x) + cos(x))*(cos(x) + cos(3*x))         2*x*sin(2*x)            /       1    \\    27*sin(3*x) + sin(x)     /3*sin(3*x) + sin(x)   (3*cos(3*x) + cos(x))*(cos(x) + cos(3*x))         2*x*sin(2*x)            /       1    \\ |9*cos(3*x) + cos(x)   (9*sin(3*x) + sin(x))*(cos(x) + cos(3*x))   2*(3*cos(3*x) + cos(x)) *(cos(x) + cos(3*x))   2*(3*cos(3*x) + cos(x))*(3*sin(3*x) + sin(x))             4*x                    4*sin(2*x)                4*x*sin (2*x)              8*x*sin (2*x)      |              12             (27*cos(3*x) + cos(x))*(cos(x) + cos(3*x))          12*sin (2*x)         3*(3*cos(3*x) + cos(x))*(9*cos(3*x) + cos(x))   3*(3*sin(3*x) + sin(x))*(9*sin(3*x) + sin(x))   6*(3*cos(3*x) + cos(x)) *(3*sin(3*x) + sin(x))   6*(3*cos(3*x) + cos(x)) *(cos(x) + cos(3*x))         24*sin (2*x)               48*x*sin (2*x)              24*x*sin(2*x)         6*(3*cos(3*x) + cos(x))*(9*sin(3*x) + sin(x))*(cos(x) + cos(3*x))         16*x*sin (2*x)             40*x*sin(2*x)              48*x*sin (2*x)     |   3*(9*cos(3*x) + cos(x))             12*x                  12*sin(2*x)          3*(9*sin(3*x) + sin(x))*(cos(x) + cos(3*x))   6*(3*cos(3*x) + cos(x)) *(cos(x) + cos(3*x))   6*(3*cos(3*x) + cos(x))*(3*sin(3*x) + sin(x))        24*x*sin (2*x)              12*x*sin (2*x)     |  sin(x) + sin(3*x)        \    cos(2*x)/
|3*|------------------- + ----------------------------------------- + ------------------------ + log|1 + --------||  - x*||------------------- + ----------------------------------------- + ------------------------ + log|1 + --------||  - -------------------- - 3*|------------------- + ----------------------------------------- + ------------------------ + log|1 + --------||*|------------------- - ----------------------------------------- - -------------------------------------------- - --------------------------------------------- + ----------------------- + ------------------------ - ------------------------- + ------------------------| + ----------------------- - ------------------------------------------ - ------------------------- - --------------------------------------------- + --------------------------------------------- + ---------------------------------------------- + -------------------------------------------- + ------------------------ - ------------------------- - ------------------------- + ----------------------------------------------------------------- + ------------------------- + ------------------------ + ------------------------| - ----------------------- - ----------------------- - ------------------------ + ------------------------------------------- + -------------------------------------------- + --------------------------------------------- - ------------------------ + -------------------------|*e                                       
|  | sin(x) + sin(3*x)                                  2             /       1    \    2           \    cos(2*x)/|      || sin(x) + sin(3*x)                                  2             /       1    \    2           \    cos(2*x)/|     sin(x) + sin(3*x)       | sin(x) + sin(3*x)                                  2             /       1    \    2           \    cos(2*x)/| | sin(x) + sin(3*x)                                  2                                            3                                               2               /       1    \            /       1    \    2                      2             /       1    \    3     |   /       1    \                                          2                            2                                             2                                               2                                               3                                               4               /       1    \    3                      2                           2                                                       3                                       3             /       1    \    2        /       1    \    4     |      sin(x) + sin(3*x)      /       1    \            /       1    \    2                                       2                                             3                                               2               /       1    \    3                      2          |                                         
|  |                                 (sin(x) + sin(3*x))              |1 + --------|*cos (2*x)                    |      ||                                 (sin(x) + sin(3*x))              |1 + --------|*cos (2*x)                    |                             |                                 (sin(x) + sin(3*x))              |1 + --------|*cos (2*x)                    | |                                 (sin(x) + sin(3*x))                          (sin(x) + sin(3*x))                             (sin(x) + sin(3*x))                |1 + --------|*cos(2*x)   |1 + --------|*cos (2*x)   /       1    \     4        |1 + --------|*cos (2*x)|   |1 + --------|*cos(2*x)              (sin(x) + sin(3*x))               /       1    \     4                     (sin(x) + sin(3*x))                             (sin(x) + sin(3*x))                             (sin(x) + sin(3*x))                             (sin(x) + sin(3*x))                |1 + --------|*cos (2*x)   /       1    \     5        /       1    \     3                               (sin(x) + sin(3*x))                          /       1    \     6        |1 + --------|*cos (2*x)   |1 + --------|*cos (2*x)|                             |1 + --------|*cos(2*x)   |1 + --------|*cos (2*x)               (sin(x) + sin(3*x))                           (sin(x) + sin(3*x))                             (sin(x) + sin(3*x))                |1 + --------|*cos (2*x)   /       1    \     4     |                                         
|  \                                                                  \    cos(2*x)/                              /      |\                                                                  \    cos(2*x)/                              /                             \                                                                  \    cos(2*x)/                              / |                                                                                                                                                                 \    cos(2*x)/            \    cos(2*x)/             |1 + --------| *cos (2*x)   \    cos(2*x)/          |   \    cos(2*x)/                                                         |1 + --------| *cos (2*x)                                                                                                                                                                                                   \    cos(2*x)/             |1 + --------| *cos (2*x)   |1 + --------| *cos (2*x)                                                                       |1 + --------| *cos (2*x)   \    cos(2*x)/             \    cos(2*x)/          |                             \    cos(2*x)/            \    cos(2*x)/                                                                                                                                                          \    cos(2*x)/             |1 + --------| *cos (2*x)|                                         
\                                                                                                                        \                                                                                                                                                                                                                                                              \                                                                                                                                                                                                                      \    cos(2*x)/                                      /                                                                          \    cos(2*x)/                                                                                                                                                                                                                                         \    cos(2*x)/              \    cos(2*x)/                                                                                  \    cos(2*x)/                                                                 /                                                                                                                                                                                                                                                          \    cos(2*x)/           /

\left(- x \left(\frac{48 x \sin^{3}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{4}{\left(2 x \right)}} + \frac{40 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} - \frac{48 x \sin^{3}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{2} \cos^{5}{\left(2 x \right)}} - \frac{24 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{2} \cos^{3}{\left(2 x \right)}} + \frac{16 x \sin^{3}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{3} \cos^{6}{\left(2 x \right)}} + \left(\frac{2 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} + \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{\left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}}\right)^{3} - 3 \left(\frac{2 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} + \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{\left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}}\right) \left(\frac{8 x \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{3}{\left(2 x \right)}} + \frac{4 x}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos{\left(2 x \right)}} - \frac{4 x \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{2} \cos^{4}{\left(2 x \right)}} + \frac{\cos{\left(x \right)} + 9 \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} - \frac{2 \left(\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} - \frac{\left(\sin{\left(x \right)} + 9 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} - \frac{2 \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)^{2}}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{3}} + \frac{4 \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}}\right) - \frac{\sin{\left(x \right)} + 27 \sin{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{3 \left(\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}\right) \left(\sin{\left(x \right)} + 9 \sin{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} - \frac{\left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 27 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} - \frac{3 \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 9 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} + \frac{6 \left(\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)^{2}}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{3}} + \frac{6 \left(\sin{\left(x \right)} + 9 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{3}} + \frac{6 \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)^{3}}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{4}} + \frac{24 \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{3}{\left(2 x \right)}} + \frac{12}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos{\left(2 x \right)}} - \frac{12 \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{2} \cos^{4}{\left(2 x \right)}}\right) - \frac{24 x \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{3}{\left(2 x \right)}} - \frac{12 x}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos{\left(2 x \right)}} + \frac{12 x \sin^{2}{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right)^{2} \cos^{4}{\left(2 x \right)}} + 3 \left(\frac{2 x \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}} + \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{\left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}}\right)^{2} - \frac{3 \left(\cos{\left(x \right)} + 9 \cos{\left(3 x \right)}\right)}{\sin{\left(x \right)} + \sin{\left(3 x \right)}} + \frac{6 \left(\sin{\left(x \right)} + 3 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} + \frac{3 \left(\sin{\left(x \right)} + 9 \sin{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right)}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{2}} + \frac{6 \left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) \left(\cos{\left(x \right)} + 3 \cos{\left(3 x \right)}\right)^{2}}{\left(\sin{\left(x \right)} + \sin{\left(3 x \right)}\right)^{3}} - \frac{12 \sin{\left(2 x \right)}}{\left(1 + \frac{1}{\cos{\left(2 x \right)}}\right) \cos^{2}{\left(2 x \right)}}\right) e^{- x \log{\left(1 + \frac{1}{\cos{\left(2 x \right)}} \right)} + \frac{\cos{\left(x \right)} + \cos{\left(3 x \right)}}{\sin{\left(x \right)} + \sin{\left(3 x \right)}}}

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Gráfico

Derivada de x*exp(-xlog(1+1/cos(2*x))+(cos(x)+cos(3*x))/(sin(x)+sin(3*x)))

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Derivada de xexp(-xlog(1+1/cos(2x))+(cos(x)+cos(3x))/(sin(x)+sin(3x)))

Gráfico:

Definida a trozos:

Solución

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Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

Derivada de x*exp(-xlog(1+1/cos(2*x))+(cos(x)+cos(3*x))/(sin(x)+sin(3*x)))

Gráfico:

Definida a trozos:

Solución

Derivada de xexp(-xlog(1+1/cos(2x))+(cos(x)+cos(3x))/(sin(x)+sin(3x)))