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-(xsin7x)^3/((1-x^2)^((1/2))+3*7(sin(7x)^2)*(1-x^2)^(1/2)*cos(7x))/(cos(6x)^2)
Derivada de la función/ -(xsin7x)^3/((1-x^2)^((1/2))+3*7(sin(7x)^2)*(1-x^2)^(1/2)*cos(7x))/(cos(6x)^2)

Derivada de -(xsin7x)^3/((1-x^2)^((1/2))+3*7(sin(7x)^2)*(1-x^2)^(1/2)*cos(7x))/(cos(6x)^2)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
/                             3                 \
|                -(x*sin(7*x))                  |
|-----------------------------------------------|
|   ________                   ________         |
|  /      2          2        /      2          |
\\/  1 - x   + 21*sin (7*x)*\/  1 - x  *cos(7*x)/
-------------------------------------------------
                       2                         
                    cos (6*x)
−(xsin⁡(7x))311−x2⋅21sin⁡2(7x)cos⁡(7x)+1−x2cos⁡2(6x)\frac{- \left(x \sin{\left(7 x \right)}\right)^{3} \frac{1}{\sqrt{1 - x^{2}} \cdot 21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + \sqrt{1 - x^{2}}}}{\cos^{2}{\left(6 x \right)}} 
((-(x*sin(7*x))^3)/(sqrt(1 - x^2) + ((21*sin(7*x)^2)*sqrt(1 - x^2))*cos(7*x)))/cos(6*x)^2
Gráfica
02468-8-6-4-2-10105-5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
               /              /          2               ________                  \                   ________          \                                                                                                                
   3    3      |     x        |  21*x*sin (7*x)         /      2                   |                  /      2     3     |                                                                                                                
  x *sin (7*x)*|----------- - |- -------------- + 294*\/  1 - x  *cos(7*x)*sin(7*x)|*cos(7*x) + 147*\/  1 - x  *sin (7*x)|                                                                                                                
               |   ________   |      ________                                      |                                     |                                                                                                                
               |  /      2    |     /      2                                       |                                     |       2    2                                                                                                   
               \\/  1 - x     \   \/  1 - x                                        /                                     /      x *sin (7*x)*(3*sin(7*x) + 21*x*cos(7*x))                                                                 
- ------------------------------------------------------------------------------------------------------------------------ - -----------------------------------------------                                                              
                                                                                      2                                         ________                   ________                                                                       
                                     /   ________                   ________         \                                         /      2          2        /      2                                                                        
                                     |  /      2          2        /      2          |                                       \/  1 - x   + 21*sin (7*x)*\/  1 - x  *cos(7*x)                         3    3                               
                                     \\/  1 - x   + 21*sin (7*x)*\/  1 - x  *cos(7*x)/                                                                                                           12*x *sin (7*x)*sin(6*x)                 
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------
                                                                                    2                                                                                          /   ________                   ________         \          
                                                                                 cos (6*x)                                                                                     |  /      2          2        /      2          |    3     
                                                                                                                                                                               \\/  1 - x   + 21*sin (7*x)*\/  1 - x  *cos(7*x)/*cos (6*x)
−12x3sin⁡3(7x)sin⁡(6x)(1−x2⋅21sin⁡2(7x)cos⁡(7x)+1−x2)cos⁡3(6x)+−x2(21xcos⁡(7x)+3sin⁡(7x))sin⁡2(7x)1−x2⋅21sin⁡2(7x)cos⁡(7x)+1−x2−x3sin⁡3(7x)(x1−x2+1471−x2sin⁡3(7x)−(−21xsin⁡2(7x)1−x2+2941−x2sin⁡(7x)cos⁡(7x))cos⁡(7x))(1−x2⋅21sin⁡2(7x)cos⁡(7x)+1−x2)2cos⁡2(6x)- \frac{12 x^{3} \sin^{3}{\left(7 x \right)} \sin{\left(6 x \right)}}{\left(\sqrt{1 - x^{2}} \cdot 21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + \sqrt{1 - x^{2}}\right) \cos^{3}{\left(6 x \right)}} + \frac{- \frac{x^{2} \left(21 x \cos{\left(7 x \right)} + 3 \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}} \cdot 21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + \sqrt{1 - x^{2}}} - \frac{x^{3} \sin^{3}{\left(7 x \right)} \left(\frac{x}{\sqrt{1 - x^{2}}} + 147 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} - \left(- \frac{21 x \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 294 \sqrt{1 - x^{2}} \sin{\left(7 x \right)} \cos{\left(7 x \right)}\right) \cos{\left(7 x \right)}\right)}{\left(\sqrt{1 - x^{2}} \cdot 21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + \sqrt{1 - x^{2}}\right)^{2}}}{\cos^{2}{\left(6 x \right)}}
Simplificar
Segunda derivada [src] 
  /                                                                                                                                                                            /                                                                                                                                                                                                                                                                                                                                                                                    2\                                                                                                                                                                                                                                                                                                                                                                       \         
  |                                                                                                                                                                            |                    2                     /        ________                       \      /    2               ________                   ________              2    2                              \                     3                ________                        /                     ________                /        ________                       \                  \ |                                            /                                /                     ________                /        ________                       \                  \         \                                                                                                                                                                      |         
  |                                                                                                                                                                            |     1             x               2      |       /      2              x*sin(7*x)|      | sin (7*x)         /      2     2             /      2     2        x *sin (7*x)   28*x*cos(7*x)*sin(7*x)|            147*x*sin (7*x)          /      2     2                   |     x              /      2     3           |       /      2              x*sin(7*x)|                  | |                                            |                                |     x              /      2     3           |       /      2              x*sin(7*x)|                  |         |                                                                                                                                                                      |         
  |                                                                                                                                                                            |----------- + ----------- - 147*sin (7*x)*|- 14*\/  1 - x  *cos(7*x) + -----------| + 21*|----------- - 98*\/  1 - x  *cos (7*x) + 98*\/  1 - x  *sin (7*x) + ------------ + ----------------------|*cos(7*x) - --------------- + 3087*\/  1 - x  *sin (7*x)*cos(7*x)   2*|----------- + 147*\/  1 - x  *sin (7*x) + 21*|- 14*\/  1 - x  *cos(7*x) + -----------|*cos(7*x)*sin(7*x)| |                                            |                              x*|----------- + 147*\/  1 - x  *sin (7*x) + 21*|- 14*\/  1 - x  *cos(7*x) + -----------|*cos(7*x)*sin(7*x)|*sin(7*x)|                                                                                                                                                                      |         
  |                                                                                                                                                                            |   ________           3/2                 |                               ________|      |   ________                                                                 3/2            ________      |                 ________                                             |   ________                                  |                               ________|                  | |                                            |                                |   ________                                  |                               ________|                  |         |                                                                                                                                                                      |         
  |                                                                                                                                                                            |  /      2    /     2\                    |                              /      2 |      |  /      2                                                          /     2\              /      2       |                /      2                                              |  /      2                                   |                              /      2 |                  | |                                            |                                |  /      2                                   |                              /      2 |                  |         |                                                   /                     ________                /        ________                       \                  \         |         
  |                                                                                                                                                                2    2      |\/  1 - x     \1 - x /                    \                            \/  1 - x  /      \\/  1 - x                                                           \1 - x /            \/  1 - x        /              \/  1 - x                                               \\/  1 - x                                    \                            \/  1 - x  /                  / |                   /         2     \        |3*(7*x*cos(7*x) + sin(7*x))     \\/  1 - x                                    \                            \/  1 - x  /                  /         |                                                   |     x              /      2     3           |       /      2              x*sin(7*x)|                  |         |         
  |                                                                                                                                                               x *sin (7*x)*|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------|       2    2      |    3*sin (6*x)|   24*x*|--------------------------- + ---------------------------------------------------------------------------------------------------------------------|*sin(6*x)*sin(7*x)   6*x*(7*x*cos(7*x) + sin(7*x))*|----------- + 147*\/  1 - x  *sin (7*x) + 21*|- 14*\/  1 - x  *cos(7*x) + -----------|*cos(7*x)*sin(7*x)|*sin(7*x)|         
  |                                                                                                                                                                            |                                                                                                                                     2                                                                                                                                                                             3/2                                                               |   72*x *sin (7*x)*|1 + -----------|        |           ________                                                    /     2\ /          2              \                                        |                                                   |   ________                                  |                               ________|                  |         |         
  |  /                             2                                                                                                                          \                |                                                                                                                               -1 + x                                                                                                                                                                      /     2\    /          2              \                                   |                   |        2      |        |          /      2                                                     \1 - x /*\1 + 21*sin (7*x)*cos(7*x)/                                        |                                                   |  /      2                                   |                              /      2 |                  |         |         
  |3*\- 3*(7*x*cos(7*x) + sin(7*x))  + (7*x*cos(7*x) + sin(7*x))*sin(7*x) + 7*x*(-2*cos(7*x) + 7*x*sin(7*x))*sin(7*x) + 7*x*(7*x*cos(7*x) + sin(7*x))*cos(7*x)/                \                                                                                                                                                                                                                                                                                                           \1 - x /   *\1 + 21*sin (7*x)*cos(7*x)/                                   /                   \     cos (6*x) /        \        \/  1 - x                                                                                                                                  /                                                   \\/  1 - x                                    \                            \/  1 - x  /                  /         |         
x*|------------------------------------------------------------------------------------------------------------------------------------------------------------ + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------|*sin(7*x)
  |                                                                           ________                                                                                                                                                                                                                                                                           2                                                                                                                                                                                                                     ________                                                                                                cos(6*x)                                                                                                                                           /          2              \ /      2\                                                      |         
  |                                                                          /      2                                                                                                                                                                                                                                                                  1 + 21*sin (7*x)*cos(7*x)                                                                                                                                                                                                      /      2                                                                                                                                                                                                                                                    \1 + 21*sin (7*x)*cos(7*x)/*\-1 + x /                                                      |         
  \                                                                        \/  1 - x                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \/  1 - x                                                                                                                                                                                                                                                                                                                                                /         
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                                                                                                                                                                                                         /          2              \    2                                                                                                                                                                                                                                                                                                                                                                                                                                                              
                                                                                                                                                                                                                                                                                                                                                                                                                                                         \1 + 21*sin (7*x)*cos(7*x)/*cos (6*x)
x(x2(x2(1−x2)32−147xsin⁡3(7x)1−x2+30871−x2sin⁡2(7x)cos⁡(7x)−147(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡2(7x)+21(x2sin⁡2(7x)(1−x2)32+28xsin⁡(7x)cos⁡(7x)1−x2+981−x2sin⁡2(7x)−981−x2cos⁡2(7x)+sin⁡2(7x)1−x2)cos⁡(7x)+11−x2x2−1−2(x1−x2+1471−x2sin⁡3(7x)+21(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡(7x)cos⁡(7x))2(1−x2)32(21sin⁡2(7x)cos⁡(7x)+1))sin⁡2(7x)21sin⁡2(7x)cos⁡(7x)+1−72x2(3sin⁡2(6x)cos⁡2(6x)+1)sin⁡2(7x)1−x2−24x(x(x1−x2+1471−x2sin⁡3(7x)+21(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡(7x)cos⁡(7x))sin⁡(7x)(1−x2)(21sin⁡2(7x)cos⁡(7x)+1)+3(7xcos⁡(7x)+sin⁡(7x))1−x2)sin⁡(6x)sin⁡(7x)cos⁡(6x)+6x(7xcos⁡(7x)+sin⁡(7x))(x1−x2+1471−x2sin⁡3(7x)+21(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡(7x)cos⁡(7x))sin⁡(7x)(x2−1)(21sin⁡2(7x)cos⁡(7x)+1)+3(7x(7xsin⁡(7x)−2cos⁡(7x))sin⁡(7x)+7x(7xcos⁡(7x)+sin⁡(7x))cos⁡(7x)−3(7xcos⁡(7x)+sin⁡(7x))2+(7xcos⁡(7x)+sin⁡(7x))sin⁡(7x))1−x2)sin⁡(7x)(21sin⁡2(7x)cos⁡(7x)+1)cos⁡2(6x)\frac{x \left(\frac{x^{2} \left(\frac{\frac{x^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{147 x \sin^{3}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 3087 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} - 147 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)} + 21 \left(\frac{x^{2} \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{28 x \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 98 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} - 98 \sqrt{1 - x^{2}} \cos^{2}{\left(7 x \right)} + \frac{\sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}}\right) \cos{\left(7 x \right)} + \frac{1}{\sqrt{1 - x^{2}}}}{x^{2} - 1} - \frac{2 \left(\frac{x}{\sqrt{1 - x^{2}}} + 147 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} + 21 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}\right)^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1\right)}\right) \sin^{2}{\left(7 x \right)}}{21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1} - \frac{72 x^{2} \left(\frac{3 \sin^{2}{\left(6 x \right)}}{\cos^{2}{\left(6 x \right)}} + 1\right) \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - \frac{24 x \left(\frac{x \left(\frac{x}{\sqrt{1 - x^{2}}} + 147 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} + 21 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)}}{\left(1 - x^{2}\right) \left(21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1\right)} + \frac{3 \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right)}{\sqrt{1 - x^{2}}}\right) \sin{\left(6 x \right)} \sin{\left(7 x \right)}}{\cos{\left(6 x \right)}} + \frac{6 x \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \left(\frac{x}{\sqrt{1 - x^{2}}} + 147 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} + 21 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)}}{\left(x^{2} - 1\right) \left(21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1\right)} + \frac{3 \left(7 x \left(7 x \sin{\left(7 x \right)} - 2 \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} + 7 x \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \cos{\left(7 x \right)} - 3 \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right)^{2} + \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin{\left(7 x \right)}\right)}{\sqrt{1 - x^{2}}}\right) \sin{\left(7 x \right)}}{\left(21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1\right) \cos^{2}{\left(6 x \right)}}
Simplificar
Tercera derivada [src] 
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  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |                                                                                                                                                                            |     1             x               2      |       /      2              x*sin(7*x)|      | sin (7*x)         /      2     2             /      2     2        x *sin (7*x)   28*x*cos(7*x)*sin(7*x)|            147*x*sin (7*x)          /      2     2                   |     x              /      2     3           |       /      2              x*sin(7*x)|                  | |                                                                                                                                                    |                                                                                                                                                                                                                                                                                                                                                     |
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |                                                                                                                                                                            |----------- + ----------- - 147*sin (7*x)*|- 14*\/  1 - x  *cos(7*x) + -----------| + 21*|----------- - 98*\/  1 - x  *cos (7*x) + 98*\/  1 - x  *sin (7*x) + ------------ + ----------------------|*cos(7*x) - --------------- + 3087*\/  1 - x  *sin (7*x)*cos(7*x)   2*|----------- + 147*\/  1 - x  *sin (7*x) + 21*|- 14*\/  1 - x  *cos(7*x) + -----------|*cos(7*x)*sin(7*x)| |                                                                                                                                                    |                                                                                                                                                                                                                                                                                                                                                     |
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  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |                      3         /           2               2           3    2                                        2                ________                         2                  \                  3           /    2               ________                   ________              2    2                              \                    ________                      ________                          2    3            /        ________                       \                               2                   /                     ________                /        ________                       \                  \      /                     ________                /        ________                       \                  \ /                    2                     /        ________                       \      /    2               ________                   ________              2    2                              \                     3                ________                   \|                                                                                                                                                                                                            |                    2                     /        ________                       \      /    2               ________                   ________              2    2                              \                     3                ________                        /                     ________                /        ________                       \                  \ |                                  |                                                                                                                                                                            |  /      2    /     2\                    |                              /      2 |      |  /      2                                                          /     2\              /      2       |                /      2                                              |  /      2                                   |                              /      2 |                  | |                                 /                     ________                /        ________                       \                  \         |                                                                                                                                                                                                                                                                                                                                                     |
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |       x             x          |  294*x*sin (7*x)   3*x*sin (7*x)   3*x *sin (7*x)   42*cos(7*x)*sin(7*x)   294*x*cos (7*x)          /      2                      42*x *cos(7*x)*sin(7*x)|            49*sin (7*x)      | sin (7*x)         /      2     2             /      2     2        x *sin (7*x)   28*x*cos(7*x)*sin(7*x)|                   /      2     3                /      2     2                 49*x *sin (7*x)       |       /      2              x*sin(7*x)|                     2058*x*sin (7*x)*cos(7*x)     |     x              /      2     3           |       /      2              x*sin(7*x)|                  |      |     x              /      2     3           |       /      2              x*sin(7*x)|                  | |     1             x               2      |       /      2              x*sin(7*x)|      | sin (7*x)         /      2     2             /      2     2        x *sin (7*x)   28*x*cos(7*x)*sin(7*x)|            147*x*sin (7*x)          /      2     2              ||                                                                                                                                                                                                            |     1             x               2      |       /      2              x*sin(7*x)|      | sin (7*x)         /      2     2             /      2     2        x *sin (7*x)   28*x*cos(7*x)*sin(7*x)|            147*x*sin (7*x)          /      2     2                   |     x              /      2     3           |       /      2              x*sin(7*x)|                  | |                                  |                                                                                                                                                                2    2      |\/  1 - x     \1 - x /                    \                            \/  1 - x  /      \\/  1 - x                                                           \1 - x /            \/  1 - x        /              \/  1 - x                                               \\/  1 - x                                    \                            \/  1 - x  /                  / |                                 |     x              /      2     3           |       /      2              x*sin(7*x)|                  |         |                                                                                                                                                                                                                                                                                                                                                     |
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |- ----------- - ----------- - 7*|- --------------- + ------------- + -------------- + -------------------- + --------------- + 2744*\/  1 - x  *cos(7*x)*sin(7*x) + -----------------------|*cos(7*x) + ------------ + 98*|----------- - 98*\/  1 - x  *cos (7*x) + 98*\/  1 - x  *sin (7*x) + ------------ + ----------------------|*sin(7*x) + 7203*\/  1 - x  *sin (7*x) - 14406*\/  1 - x  *cos (7*x)*sin(7*x) + --------------- + 343*|- 14*\/  1 - x  *cos(7*x) + -----------|*cos(7*x)*sin(7*x) + -------------------------   2*|----------- + 147*\/  1 - x  *sin (7*x) + 21*|- 14*\/  1 - x  *cos(7*x) + -----------|*cos(7*x)*sin(7*x)|    2*|----------- + 147*\/  1 - x  *sin (7*x) + 21*|- 14*\/  1 - x  *cos(7*x) + -----------|*cos(7*x)*sin(7*x)|*|----------- + ----------- - 147*sin (7*x)*|- 14*\/  1 - x  *cos(7*x) + -----------| + 21*|----------- - 98*\/  1 - x  *cos (7*x) + 98*\/  1 - x  *sin (7*x) + ------------ + ----------------------|*cos(7*x) - --------------- + 3087*\/  1 - x  *sin (7*x)*cos(7*x)||                                                                                                                                                                                                            |----------- + ----------- - 147*sin (7*x)*|- 14*\/  1 - x  *cos(7*x) + -----------| + 21*|----------- - 98*\/  1 - x  *cos (7*x) + 98*\/  1 - x  *sin (7*x) + ------------ + ----------------------|*cos(7*x) - --------------- + 3087*\/  1 - x  *sin (7*x)*cos(7*x)   2*|----------- + 147*\/  1 - x  *sin (7*x) + 21*|- 14*\/  1 - x  *cos(7*x) + -----------|*cos(7*x)*sin(7*x)| |                                  |                                                                                                                                                               x *sin (7*x)*|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------|   6*x*(7*x*cos(7*x) + sin(7*x))*|----------- + 147*\/  1 - x  *sin (7*x) + 21*|- 14*\/  1 - x  *cos(7*x) + -----------|*cos(7*x)*sin(7*x)|*sin(7*x)|                                                                                                                                                                                                                                                                                                                                                     |
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |          3/2           5/2     |       ________              3/2             5/2            ________             ________                                                        3/2      |               ________       |   ________                                                                 3/2            ________      |                                                                                          3/2         |                               ________|                               ________            |   ________                                  |                               ________|                  |      |   ________                                  |                               ________|                  | |   ________           3/2                 |                               ________|      |   ________                                                                 3/2            ________      |                 ________                                        ||                                                                                                                                                                                                            |   ________           3/2                 |                               ________|      |   ________                                                                 3/2            ________      |                 ________                                             |   ________                                  |                               ________|                  | |                                  |                                                                                                                                                                            |                                                                                                                                     2                                                                                                                                                                             3/2                                                               |                                 |   ________                                  |                               ________|                  |         |                                                                                                                                                                                                                                                                                                                                                     |
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |  /     2\      /     2\        |      /      2       /     2\        /     2\              /      2             /      2                                                 /     2\         |              /      2        |  /      2                                                          /     2\              /      2       |                                                                                  /     2\            |                              /      2 |                              /      2             |  /      2                                   |                              /      2 |                  |      |  /      2                                   |                              /      2 |                  | |  /      2    /     2\                    |                              /      2 |      |  /      2                                                          /     2\              /      2       |                /      2                                         ||                                     /                                /                     ________                /        ________                       \                  \         \                  |  /      2    /     2\                    |                              /      2 |      |  /      2                                                          /     2\              /      2       |                /      2                                              |  /      2                                   |                              /      2 |                  | |                                  |  /                             2                                                                                                                          \                |                                                                                                                               -1 + x                                                                                                                                                                      /     2\    /          2              \                                   |                                 |  /      2                                   |                              /      2 |                  |         |                                                                       /                     ________                /        ________                       \                  \                                                                                                                                                                    |
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       3    3      |  \1 - x /      \1 - x /        \    \/  1 - x        \1 - x /        \1 - x /            \/  1 - x            \/  1 - x                                                  \1 - x /         /            \/  1 - x         \\/  1 - x                                                           \1 - x /            \/  1 - x        /                                                                                  \1 - x /            \                            \/  1 - x  /                            \/  1 - x              \\/  1 - x                                    \                            \/  1 - x  /                  /      \\/  1 - x                                    \                            \/  1 - x  /                  / \\/  1 - x     \1 - x /                    \                            \/  1 - x  /      \\/  1 - x                                                           \1 - x /            \/  1 - x        /              \/  1 - x                                          /|                                     |                                |     x              /      2     3           |       /      2              x*sin(7*x)|                  |         |      2    2      |\/  1 - x     \1 - x /                    \                            \/  1 - x  /      \\/  1 - x                                                           \1 - x /            \/  1 - x        /              \/  1 - x                                               \\/  1 - x                                    \                            \/  1 - x  /                  / |                                  |3*\- 3*(7*x*cos(7*x) + sin(7*x))  + (7*x*cos(7*x) + sin(7*x))*sin(7*x) + 7*x*(-2*cos(7*x) + 7*x*sin(7*x))*sin(7*x) + 7*x*(7*x*cos(7*x) + sin(7*x))*cos(7*x)/                \                                                                                                                                                                                                                                                                                                           \1 - x /   *\1 + 21*sin (7*x)*cos(7*x)/                                   /                                 \\/  1 - x                                    \                            \/  1 - x  /                  /         |                                      /         2     \                |     x              /      2     3           |       /      2              x*sin(7*x)|                  | /                             2                                                                                                                          \         |
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      x *sin (7*x)*|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|                                     |                              x*|----------- + 147*\/  1 - x  *sin (7*x) + 21*|- 14*\/  1 - x  *cos(7*x) + -----------|*cos(7*x)*sin(7*x)|*sin(7*x)|   3*x *sin (7*x)*|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------|*(7*x*cos(7*x) + sin(7*x))   12*x*|------------------------------------------------------------------------------------------------------------------------------------------------------------ + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------|*sin(6*x)*sin(7*x)        3    3      |    3*sin (6*x)|            3*x*|----------- + 147*\/  1 - x  *sin (7*x) + 21*|- 14*\/  1 - x  *cos(7*x) + -----------|*cos(7*x)*sin(7*x)|*\- 3*(7*x*cos(7*x) + sin(7*x))  + (7*x*cos(7*x) + sin(7*x))*sin(7*x) + 7*x*(-2*cos(7*x) + 7*x*sin(7*x))*sin(7*x) + 7*x*(7*x*cos(7*x) + sin(7*x))*cos(7*x)/*sin(7*x)|
  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |                                                                                                                                                                                                                                                                   2                                                                                                                                                                                                                                                                                                                               2          2                                                                                                                                                                                                                    3/2                                                                                                                                                                                                   |                                     |                                |   ________                                  |                               ________|                  |         |                  |                                                                                                                                     2                                                                                                                                                                             3/2                                                               |                                  |                                                                           ________                                                                                                                                                                                                                                                                           2                                                                                                                                                                                                                                                             /          2              \ /      2\                                                      |                     576*x *sin (7*x)*|2 + -----------|*sin(6*x)       |   ________                                  |                               ________|                  |                                                                                                                                                                    |
  |   2                                                              /     2            2    2            2    2                              \                              2                2    2                                         2                                                                   2                2    2                                      2    2                                                                                                                                                                  2                                                               |                                                                                                                                                                                                                                                             -1 + x                                                                                                                                                                                                                                                                                                     /          2              \  /      2\                                                                                                                                                                                                             /     2\    /          2              \                                                                                                                                                                       |                   /         2     \ |                                |  /      2                                   |                              /      2 |                  |         |                  |                                                                                                                               -1 + x                                                                                                                                                                      /     2\    /          2              \                                   |                                  |                                                                          /      2                                                                                                                                                                                                                                                                  1 + 21*sin (7*x)*cos(7*x)                                                                                                                                                                                                                                               \1 + 21*sin (7*x)*cos(7*x)/*\-1 + x /                                                      |                                      |        2      |                |  /      2                                   |                              /      2 |                  |                                                                                                                                                                    |
  |sin (7*x)*(7*x*cos(7*x) + sin(7*x)) - 3*(7*x*cos(7*x) + sin(7*x))*\2*sin (7*x) - 49*x *sin (7*x) + 98*x *cos (7*x) + 42*x*cos(7*x)*sin(7*x)/ + 3*(7*x*cos(7*x) + sin(7*x)) *sin(7*x) - 49*x *sin (7*x)*(7*x*cos(7*x) + sin(7*x)) + 7*x*sin (7*x)*(-2*cos(7*x) + 7*x*sin(7*x)) + 21*x*(7*x*cos(7*x) + sin(7*x)) *cos(7*x) + 49*x *cos (7*x)*(7*x*cos(7*x) + sin(7*x)) + 49*x *sin (7*x)*(3*sin(7*x) + 7*x*cos(7*x)) + 21*x*(-2*cos(7*x) + 7*x*sin(7*x))*(7*x*cos(7*x) + sin(7*x))*sin(7*x) + 28*x*(7*x*cos(7*x) + sin(7*x))*cos(7*x)*sin(7*x) + 49*x *(-2*cos(7*x) + 7*x*sin(7*x))*cos(7*x)*sin(7*x)                \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \1 + 21*sin (7*x)*cos(7*x)/ *\-1 + x /                                                                                                                                                                                                             \1 - x /   *\1 + 21*sin (7*x)*cos(7*x)/                                                                                                                                                                       /       2    2      |    3*sin (6*x)| |3*(7*x*cos(7*x) + sin(7*x))     \\/  1 - x                                    \                            \/  1 - x  /                  /         |                  \                                                                                                                                                                                                                                                                                                           \1 - x /   *\1 + 21*sin (7*x)*cos(7*x)/                                   /                                  \                                                                        \/  1 - x                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      /                                      \     cos (6*x) /                \\/  1 - x                                    \                            \/  1 - x  /                  /                                                                                                                                                                    |
3*|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 72*x *sin (7*x)*|1 + -----------|*|--------------------------- + ---------------------------------------------------------------------------------------------------------------------| + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
  |                                                                                                                                                                                                                                                                                               ________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 |        2      | |           ________                                                    /     2\ /          2              \                                        |                                                                                                                                                                                                                2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         cos(6*x)                                                                                                                                                                                                                                                                                                                                                                                      ________                                                                                                                                             /          2              \ /      2\                                                                                                                       |
  |                                                                                                                                                                                                                                                                                              /      2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               1 + 21*sin (7*x)*cos(7*x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \     cos (6*x) / |          /      2                                                     \1 - x /*\1 + 21*sin (7*x)*cos(7*x)/                                        |                                                                                                                                                                                                      1 + 21*sin (7*x)*cos(7*x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        /      2                                                                                                                                              \1 + 21*sin (7*x)*cos(7*x)/*\-1 + x /                                                                                                                       |
  \                                                                                                                                                                                                                                                                                            \/  1 - x                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \        \/  1 - x                                                                                                                                  /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     \/  1 - x  *cos(6*x)                                                                                                                                                                                                                                                                                                /
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \1 + 21*sin (7*x)*cos(7*x)/*cos (6*x)
3(−x3(−x3(1−x2)52+49x2sin⁡3(7x)(1−x2)32+2058xsin⁡2(7x)cos⁡(7x)1−x2−x(1−x2)32+72031−x2sin⁡3(7x)−144061−x2sin⁡(7x)cos⁡2(7x)+343(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡(7x)cos⁡(7x)+98(x2sin⁡2(7x)(1−x2)32+28xsin⁡(7x)cos⁡(7x)1−x2+981−x2sin⁡2(7x)−981−x2cos⁡2(7x)+sin⁡2(7x)1−x2)sin⁡(7x)−7(3x3sin⁡2(7x)(1−x2)52+42x2sin⁡(7x)cos⁡(7x)(1−x2)32−294xsin⁡2(7x)1−x2+294xcos⁡2(7x)1−x2+3xsin⁡2(7x)(1−x2)32+27441−x2sin⁡(7x)cos⁡(7x)+42sin⁡(7x)cos⁡(7x)1−x2)cos⁡(7x)+49sin⁡3(7x)1−x2x2−1+2(x1−x2+1471−x2sin⁡3(7x)+21(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡(7x)cos⁡(7x))3(x2−1)2(21sin⁡2(7x)cos⁡(7x)+1)2+2(x1−x2+1471−x2sin⁡3(7x)+21(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡(7x)cos⁡(7x))(x2(1−x2)32−147xsin⁡3(7x)1−x2+30871−x2sin⁡2(7x)cos⁡(7x)−147(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡2(7x)+21(x2sin⁡2(7x)(1−x2)32+28xsin⁡(7x)cos⁡(7x)1−x2+981−x2sin⁡2(7x)−981−x2cos⁡2(7x)+sin⁡2(7x)1−x2)cos⁡(7x)+11−x2)(1−x2)32(21sin⁡2(7x)cos⁡(7x)+1))sin⁡3(7x)21sin⁡2(7x)cos⁡(7x)+1−576x3(3sin⁡2(6x)cos⁡2(6x)+2)sin⁡(6x)sin⁡3(7x)1−x2cos⁡(6x)+3x2(7xcos⁡(7x)+sin⁡(7x))(x2(1−x2)32−147xsin⁡3(7x)1−x2+30871−x2sin⁡2(7x)cos⁡(7x)−147(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡2(7x)+21(x2sin⁡2(7x)(1−x2)32+28xsin⁡(7x)cos⁡(7x)1−x2+981−x2sin⁡2(7x)−981−x2cos⁡2(7x)+sin⁡2(7x)1−x2)cos⁡(7x)+11−x2x2−1−2(x1−x2+1471−x2sin⁡3(7x)+21(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡(7x)cos⁡(7x))2(1−x2)32(21sin⁡2(7x)cos⁡(7x)+1))sin⁡2(7x)21sin⁡2(7x)cos⁡(7x)+1−72x2(3sin⁡2(6x)cos⁡2(6x)+1)(x(x1−x2+1471−x2sin⁡3(7x)+21(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡(7x)cos⁡(7x))sin⁡(7x)(1−x2)(21sin⁡2(7x)cos⁡(7x)+1)+3(7xcos⁡(7x)+sin⁡(7x))1−x2)sin⁡2(7x)+12x(x2(x2(1−x2)32−147xsin⁡3(7x)1−x2+30871−x2sin⁡2(7x)cos⁡(7x)−147(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡2(7x)+21(x2sin⁡2(7x)(1−x2)32+28xsin⁡(7x)cos⁡(7x)1−x2+981−x2sin⁡2(7x)−981−x2cos⁡2(7x)+sin⁡2(7x)1−x2)cos⁡(7x)+11−x2x2−1−2(x1−x2+1471−x2sin⁡3(7x)+21(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡(7x)cos⁡(7x))2(1−x2)32(21sin⁡2(7x)cos⁡(7x)+1))sin⁡2(7x)21sin⁡2(7x)cos⁡(7x)+1+6x(7xcos⁡(7x)+sin⁡(7x))(x1−x2+1471−x2sin⁡3(7x)+21(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡(7x)cos⁡(7x))sin⁡(7x)(x2−1)(21sin⁡2(7x)cos⁡(7x)+1)+3(7x(7xsin⁡(7x)−2cos⁡(7x))sin⁡(7x)+7x(7xcos⁡(7x)+sin⁡(7x))cos⁡(7x)−3(7xcos⁡(7x)+sin⁡(7x))2+(7xcos⁡(7x)+sin⁡(7x))sin⁡(7x))1−x2)sin⁡(6x)sin⁡(7x)cos⁡(6x)−3x(x1−x2+1471−x2sin⁡3(7x)+21(xsin⁡(7x)1−x2−141−x2cos⁡(7x))sin⁡(7x)cos⁡(7x))(7x(7xsin⁡(7x)−2cos⁡(7x))sin⁡(7x)+7x(7xcos⁡(7x)+sin⁡(7x))cos⁡(7x)−3(7xcos⁡(7x)+sin⁡(7x))2+(7xcos⁡(7x)+sin⁡(7x))sin⁡(7x))sin⁡(7x)(x2−1)(21sin⁡2(7x)cos⁡(7x)+1)+49x2(7xsin⁡(7x)−2cos⁡(7x))sin⁡(7x)cos⁡(7x)−49x2(7xcos⁡(7x)+sin⁡(7x))sin⁡2(7x)+49x2(7xcos⁡(7x)+sin⁡(7x))cos⁡2(7x)+49x2(7xcos⁡(7x)+3sin⁡(7x))sin⁡2(7x)+21x(7xsin⁡(7x)−2cos⁡(7x))(7xcos⁡(7x)+sin⁡(7x))sin⁡(7x)+7x(7xsin⁡(7x)−2cos⁡(7x))sin⁡2(7x)+21x(7xcos⁡(7x)+sin⁡(7x))2cos⁡(7x)+28x(7xcos⁡(7x)+sin⁡(7x))sin⁡(7x)cos⁡(7x)+3(7xcos⁡(7x)+sin⁡(7x))2sin⁡(7x)−3(7xcos⁡(7x)+sin⁡(7x))(−49x2sin⁡2(7x)+98x2cos⁡2(7x)+42xsin⁡(7x)cos⁡(7x)+2sin⁡2(7x))+(7xcos⁡(7x)+sin⁡(7x))sin⁡2(7x)1−x2)(21sin⁡2(7x)cos⁡(7x)+1)cos⁡2(6x)\frac{3 \left(- \frac{x^{3} \left(\frac{- \frac{x^{3}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{49 x^{2} \sin^{3}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2058 x \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - \frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 7203 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} - 14406 \sqrt{1 - x^{2}} \sin{\left(7 x \right)} \cos^{2}{\left(7 x \right)} + 343 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)} + 98 \left(\frac{x^{2} \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{28 x \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 98 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} - 98 \sqrt{1 - x^{2}} \cos^{2}{\left(7 x \right)} + \frac{\sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}}\right) \sin{\left(7 x \right)} - 7 \left(\frac{3 x^{3} \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{42 x^{2} \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{294 x \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{294 x \cos^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{3 x \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 2744 \sqrt{1 - x^{2}} \sin{\left(7 x \right)} \cos{\left(7 x \right)} + \frac{42 \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}}\right) \cos{\left(7 x \right)} + \frac{49 \sin^{3}{\left(7 x \right)}}{\sqrt{1 - x^{2}}}}{x^{2} - 1} + \frac{2 \left(\frac{x}{\sqrt{1 - x^{2}}} + 147 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} + 21 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}\right)^{3}}{\left(x^{2} - 1\right)^{2} \left(21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1\right)^{2}} + \frac{2 \left(\frac{x}{\sqrt{1 - x^{2}}} + 147 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} + 21 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}\right) \left(\frac{x^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{147 x \sin^{3}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 3087 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} - 147 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)} + 21 \left(\frac{x^{2} \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{28 x \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 98 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} - 98 \sqrt{1 - x^{2}} \cos^{2}{\left(7 x \right)} + \frac{\sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}}\right) \cos{\left(7 x \right)} + \frac{1}{\sqrt{1 - x^{2}}}\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1\right)}\right) \sin^{3}{\left(7 x \right)}}{21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1} - \frac{576 x^{3} \left(\frac{3 \sin^{2}{\left(6 x \right)}}{\cos^{2}{\left(6 x \right)}} + 2\right) \sin{\left(6 x \right)} \sin^{3}{\left(7 x \right)}}{\sqrt{1 - x^{2}} \cos{\left(6 x \right)}} + \frac{3 x^{2} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \left(\frac{\frac{x^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{147 x \sin^{3}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 3087 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} - 147 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)} + 21 \left(\frac{x^{2} \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{28 x \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 98 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} - 98 \sqrt{1 - x^{2}} \cos^{2}{\left(7 x \right)} + \frac{\sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}}\right) \cos{\left(7 x \right)} + \frac{1}{\sqrt{1 - x^{2}}}}{x^{2} - 1} - \frac{2 \left(\frac{x}{\sqrt{1 - x^{2}}} + 147 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} + 21 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}\right)^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1\right)}\right) \sin^{2}{\left(7 x \right)}}{21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1} - 72 x^{2} \left(\frac{3 \sin^{2}{\left(6 x \right)}}{\cos^{2}{\left(6 x \right)}} + 1\right) \left(\frac{x \left(\frac{x}{\sqrt{1 - x^{2}}} + 147 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} + 21 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)}}{\left(1 - x^{2}\right) \left(21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1\right)} + \frac{3 \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right)}{\sqrt{1 - x^{2}}}\right) \sin^{2}{\left(7 x \right)} + \frac{12 x \left(\frac{x^{2} \left(\frac{\frac{x^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{147 x \sin^{3}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 3087 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} - 147 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)} + 21 \left(\frac{x^{2} \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{28 x \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 98 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} - 98 \sqrt{1 - x^{2}} \cos^{2}{\left(7 x \right)} + \frac{\sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}}\right) \cos{\left(7 x \right)} + \frac{1}{\sqrt{1 - x^{2}}}}{x^{2} - 1} - \frac{2 \left(\frac{x}{\sqrt{1 - x^{2}}} + 147 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} + 21 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}\right)^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1\right)}\right) \sin^{2}{\left(7 x \right)}}{21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1} + \frac{6 x \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \left(\frac{x}{\sqrt{1 - x^{2}}} + 147 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} + 21 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)}}{\left(x^{2} - 1\right) \left(21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1\right)} + \frac{3 \left(7 x \left(7 x \sin{\left(7 x \right)} - 2 \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} + 7 x \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \cos{\left(7 x \right)} - 3 \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right)^{2} + \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin{\left(7 x \right)}\right)}{\sqrt{1 - x^{2}}}\right) \sin{\left(6 x \right)} \sin{\left(7 x \right)}}{\cos{\left(6 x \right)}} - \frac{3 x \left(\frac{x}{\sqrt{1 - x^{2}}} + 147 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} + 21 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}\right) \left(7 x \left(7 x \sin{\left(7 x \right)} - 2 \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} + 7 x \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \cos{\left(7 x \right)} - 3 \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right)^{2} + \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin{\left(7 x \right)}\right) \sin{\left(7 x \right)}}{\left(x^{2} - 1\right) \left(21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1\right)} + \frac{49 x^{2} \left(7 x \sin{\left(7 x \right)} - 2 \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)} - 49 x^{2} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)} + 49 x^{2} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \cos^{2}{\left(7 x \right)} + 49 x^{2} \left(7 x \cos{\left(7 x \right)} + 3 \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)} + 21 x \left(7 x \sin{\left(7 x \right)} - 2 \cos{\left(7 x \right)}\right) \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin{\left(7 x \right)} + 7 x \left(7 x \sin{\left(7 x \right)} - 2 \cos{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)} + 21 x \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right)^{2} \cos{\left(7 x \right)} + 28 x \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)} + 3 \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right)^{2} \sin{\left(7 x \right)} - 3 \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \left(- 49 x^{2} \sin^{2}{\left(7 x \right)} + 98 x^{2} \cos^{2}{\left(7 x \right)} + 42 x \sin{\left(7 x \right)} \cos{\left(7 x \right)} + 2 \sin^{2}{\left(7 x \right)}\right) + \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}}\right)}{\left(21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 1\right) \cos^{2}{\left(6 x \right)}}
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Gráfico
Derivada de -(xsin7x)^3/((1-x^2)^((1/2))+3*7(sin(7x)^2)*(1-x^2)^(1/2)*cos(7x))/(cos(6x)^2)
    © Sr Examen – Калькулятор