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Derivada de la función/ x*exp(-log^3(x)*cos(x)*arctg(7x^2-2x+1)x)

Derivada de x*exp(-log^3(x)*cos(x)*arctg(7x^2-2x+1)x)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
       3               /   2          \  
   -log (x)*cos(x)*atan\7*x  - 2*x + 1/*x
x*e
xex−log⁡(x)3cos⁡(x)atan⁡((7x2−2x)+1)x e^{x - \log{\left(x \right)}^{3} \cos{\left(x \right)} \operatorname{atan}{\left(\left(7 x^{2} - 2 x\right) + 1 \right)}} 
x*exp((((-log(x)^3)*cos(x))*atan(7*x^2 - 2*x + 1))*x)
Primera derivada [src] 
  /  //                      2          \                           3                      \                                       \      3               /   2          \          3               /   2          \  
  |  ||   3             3*log (x)*cos(x)|     /   2          \   log (x)*(-2 + 14*x)*cos(x)|       3               /   2          \|  -log (x)*cos(x)*atan\7*x  - 2*x + 1/*x    -log (x)*cos(x)*atan\7*x  - 2*x + 1/*x
x*|x*||log (x)*sin(x) - ----------------|*atan\7*x  - 2*x + 1/ - --------------------------| + -log (x)*cos(x)*atan\7*x  - 2*x + 1/|*e                                       + e                                      
  |  |\                        x        /                                              2   |                                       |                                                                                  
  |  |                                                                 /   2          \    |                                       |                                                                                  
  \  \                                                             1 + \7*x  - 2*x + 1/    /                                       /
x(x(−(14x−2)log⁡(x)3cos⁡(x)((7x2−2x)+1)2+1+(log⁡(x)3sin⁡(x)−3log⁡(x)2cos⁡(x)x)atan⁡((7x2−2x)+1))+−log⁡(x)3cos⁡(x)atan⁡((7x2−2x)+1))ex−log⁡(x)3cos⁡(x)atan⁡((7x2−2x)+1)+ex−log⁡(x)3cos⁡(x)atan⁡((7x2−2x)+1)x \left(x \left(- \frac{\left(14 x - 2\right) \log{\left(x \right)}^{3} \cos{\left(x \right)}}{\left(\left(7 x^{2} - 2 x\right) + 1\right)^{2} + 1} + \left(\log{\left(x \right)}^{3} \sin{\left(x \right)} - \frac{3 \log{\left(x \right)}^{2} \cos{\left(x \right)}}{x}\right) \operatorname{atan}{\left(\left(7 x^{2} - 2 x\right) + 1 \right)}\right) + - \log{\left(x \right)}^{3} \cos{\left(x \right)} \operatorname{atan}{\left(\left(7 x^{2} - 2 x\right) + 1 \right)}\right) e^{x - \log{\left(x \right)}^{3} \cos{\left(x \right)} \operatorname{atan}{\left(\left(7 x^{2} - 2 x\right) + 1 \right)}} + e^{x - \log{\left(x \right)}^{3} \cos{\left(x \right)} \operatorname{atan}{\left(\left(7 x^{2} - 2 x\right) + 1 \right)}}
Simplificar
Segunda derivada [src] 
/  /  /                                                                                                                                                          /                3*cos(x)\                                                                                    \                                                                                                                                                                                                                              \                                                                                                                                     \                                               
|  |  |                                                                                               2                    2                        2*(-1 + 7*x)*|log(x)*sin(x) - --------|*log(x)                                            2    2    /             2\       |                                                                                                                            2                                                                           2                     |                                                                                                                                     |        3        /             2\              
|  |  |/   2             6*cos(x)   3*cos(x)*log(x)   6*log(x)*sin(x)\     /             2\     14*log (x)*cos(x)     2*log (x)*(-1 + 7*x)*sin(x)                \                   x    /          6*(-1 + 7*x)*cos(x)*log(x)   8*(-1 + 7*x) *log (x)*\1 - 2*x + 7*x /*cos(x)|   /  /  /                3*cos(x)\     /             2\   2*(-1 + 7*x)*cos(x)*log(x)\       /             2\              \     3        /                3*cos(x)\     /             2\          4*log (x)*(-1 + 7*x)*cos(x)|     /  /  /                3*cos(x)\     /             2\   2*(-1 + 7*x)*cos(x)*log(x)\       /             2\              \       |  -x*log (x)*atan\1 - 2*x + 7*x /*cos(x)       
|x*|x*||log (x)*cos(x) - -------- + --------------- + ---------------|*atan\1 - 2*x + 7*x / - --------------------- + --------------------------- + ---------------------------------------------- - -------------------------- + ---------------------------------------------| + |x*|- |log(x)*sin(x) - --------|*atan\1 - 2*x + 7*x / + --------------------------| + atan\1 - 2*x + 7*x /*cos(x)*log(x)| *log (x) + 2*|log(x)*sin(x) - --------|*atan\1 - 2*x + 7*x /*log(x) - ---------------------------| - 2*|x*|- |log(x)*sin(x) - --------|*atan\1 - 2*x + 7*x / + --------------------------| + atan\1 - 2*x + 7*x /*cos(x)*log(x)|*log(x)|*e                                      *log(x)
|  |  ||                     2              2                x       |                                            2                          2                                      2                  /                    2\                                      2          |   |  |  \                   x    /                                              2   |                                     |              \                   x    /                                                      2   |     |  |  \                   x    /                                              2   |                                     |       |                                               
|  |  |\                    x              x                         /                            /             2\           /             2\                       /             2\                   |    /             2\ |               /                    2\           |   |  |                                                          /             2\    |                                     |                                                                              /             2\    |     |  |                                                          /             2\    |                                     |       |                                               
|  |  |                                                                                       1 + \1 - 2*x + 7*x /       1 + \1 - 2*x + 7*x /                   1 + \1 - 2*x + 7*x /                 x*\1 + \1 - 2*x + 7*x / /               |    /             2\ |           |   \  \                                                      1 + \1 - 2*x + 7*x /    /                                     /                                                                          1 + \1 - 2*x + 7*x /    |     \  \                                                      1 + \1 - 2*x + 7*x /    /                                     /       |                                               
\  \  \                                                                                                                                                                                                                                      \1 + \1 - 2*x + 7*x / /           /                                                                                                                                                                                                                              /                                                                                                                                     /
(x(x(8(7x−1)2(7x2−2x+1)log⁡(x)2cos⁡(x)((7x2−2x+1)2+1)2+2(7x−1)(log⁡(x)sin⁡(x)−3cos⁡(x)x)log⁡(x)(7x2−2x+1)2+1+2(7x−1)log⁡(x)2sin⁡(x)(7x2−2x+1)2+1+(log⁡(x)2cos⁡(x)+6log⁡(x)sin⁡(x)x+3log⁡(x)cos⁡(x)x2−6cos⁡(x)x2)atan⁡(7x2−2x+1)−14log⁡(x)2cos⁡(x)(7x2−2x+1)2+1−6(7x−1)log⁡(x)cos⁡(x)x((7x2−2x+1)2+1))−4(7x−1)log⁡(x)2cos⁡(x)(7x2−2x+1)2+1+(x(2(7x−1)log⁡(x)cos⁡(x)(7x2−2x+1)2+1−(log⁡(x)sin⁡(x)−3cos⁡(x)x)atan⁡(7x2−2x+1))+log⁡(x)cos⁡(x)atan⁡(7x2−2x+1))2log⁡(x)3+2(log⁡(x)sin⁡(x)−3cos⁡(x)x)log⁡(x)atan⁡(7x2−2x+1))−2(x(2(7x−1)log⁡(x)cos⁡(x)(7x2−2x+1)2+1−(log⁡(x)sin⁡(x)−3cos⁡(x)x)atan⁡(7x2−2x+1))+log⁡(x)cos⁡(x)atan⁡(7x2−2x+1))log⁡(x))e−xlog⁡(x)3cos⁡(x)atan⁡(7x2−2x+1)log⁡(x)\left(x \left(x \left(\frac{8 \left(7 x - 1\right)^{2} \left(7 x^{2} - 2 x + 1\right) \log{\left(x \right)}^{2} \cos{\left(x \right)}}{\left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)^{2}} + \frac{2 \left(7 x - 1\right) \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \log{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + \frac{2 \left(7 x - 1\right) \log{\left(x \right)}^{2} \sin{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + \left(\log{\left(x \right)}^{2} \cos{\left(x \right)} + \frac{6 \log{\left(x \right)} \sin{\left(x \right)}}{x} + \frac{3 \log{\left(x \right)} \cos{\left(x \right)}}{x^{2}} - \frac{6 \cos{\left(x \right)}}{x^{2}}\right) \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)} - \frac{14 \log{\left(x \right)}^{2} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} - \frac{6 \left(7 x - 1\right) \log{\left(x \right)} \cos{\left(x \right)}}{x \left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)}\right) - \frac{4 \left(7 x - 1\right) \log{\left(x \right)}^{2} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + \left(x \left(\frac{2 \left(7 x - 1\right) \log{\left(x \right)} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} - \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right) + \log{\left(x \right)} \cos{\left(x \right)} \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right)^{2} \log{\left(x \right)}^{3} + 2 \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \log{\left(x \right)} \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right) - 2 \left(x \left(\frac{2 \left(7 x - 1\right) \log{\left(x \right)} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} - \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right) + \log{\left(x \right)} \cos{\left(x \right)} \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right) \log{\left(x \right)}\right) e^{- x \log{\left(x \right)}^{3} \cos{\left(x \right)} \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}} \log{\left(x \right)}
Simplificar
Tercera derivada [src] 
/  /  /                                                                                                                                                                                                                                                                                           /   2             6*cos(x)   3*cos(x)*log(x)   6*log(x)*sin(x)\                                                                                                                                                                                                                                                                                                                                                                                                           \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \                                        
|  |  |                                                                                                                                                          2    /                3*cos(x)\                                                                                     4*(-1 + 7*x)*|log (x)*cos(x) - -------- + --------------- + ---------------|*log(x)                                                                  2                                                                                                             2    2    /                3*cos(x)\ /             2\                                                                                                                                                               |                                                                                                                                                                                                                                                                                                    /  /                                                                                                                                                          /                3*cos(x)\                                                                                    \                                                                                         \                                                                                                        2               /                3*cos(x)\                                                                                                              |     /  /                                                                                                                                                          /                3*cos(x)\                                                                                    \                                                                                                                                                                                                                              \       |                                        
|  |  |  /                                                                       2                  2                  2          \                        14*log (x)*|log(x)*sin(x) - --------|           3                         2                      3                                     |                     2              2                x       |                       3    3                          3 /             2\     3                          2    3    /             2\                                        8*(-1 + 7*x) *log (x)*|log(x)*sin(x) - --------|*\1 - 2*x + 7*x /        2                              2                               3               /             2\                       2    2    /             2\       |                                                                                                                            3                   3                                                                                                                                                   |  |                                                                                               2                    2                        2*(-1 + 7*x)*|log(x)*sin(x) - --------|*log(x)                                            2    2    /             2\       |                                                                   2                     |                                                                                                   6*log (x)*(-1 + 7*x)*|log(x)*sin(x) - --------|        3                              2                                     2    3    /             2\       |     |  |                                                                                               2                    2                        2*(-1 + 7*x)*|log(x)*sin(x) - --------|*log(x)                                            2    2    /             2\       |                                                                                                                            2                                                                           2                     |       |        3        /             2\       
|  |  |  |   3             6*cos(x)   18*cos(x)*log(x)   18*log(x)*sin(x)   9*log (x)*cos(x)   6*log (x)*cos(x)   9*log (x)*sin(x)|     /             2\              \                   x    /     28*log (x)*sin(x)         84*log (x)*cos(x)       2*log (x)*(-1 + 7*x)*cos(x)                \                    x              x                         /          16*(-1 + 7*x) *log (x)*cos(x)   64*(-1 + 7*x) *\1 - 2*x + 7*x / *log (x)*cos(x)   16*(-1 + 7*x) *log (x)*\1 - 2*x + 7*x /*sin(x)   12*(-1 + 7*x)*cos(x)*log(x)                         \                   x    /                    6*log (x)*(-1 + 7*x)*cos(x)   12*log (x)*(-1 + 7*x)*sin(x)   168*log (x)*(-1 + 7*x)*\1 - 2*x + 7*x /*cos(x)   48*(-1 + 7*x) *log (x)*\1 - 2*x + 7*x /*cos(x)|   /  /  /                3*cos(x)\     /             2\   2*(-1 + 7*x)*cos(x)*log(x)\       /             2\              \     6        42*log (x)*cos(x)          3    /  /  /                3*cos(x)\     /             2\   2*(-1 + 7*x)*cos(x)*log(x)\       /             2\              \ |  |/   2             6*cos(x)   3*cos(x)*log(x)   6*log(x)*sin(x)\     /             2\     14*log (x)*cos(x)     2*log (x)*(-1 + 7*x)*sin(x)                \                   x    /          6*(-1 + 7*x)*cos(x)*log(x)   8*(-1 + 7*x) *log (x)*\1 - 2*x + 7*x /*cos(x)|     /                3*cos(x)\     /             2\          4*log (x)*(-1 + 7*x)*cos(x)|     /   2             6*cos(x)   3*cos(x)*log(x)   6*log(x)*sin(x)\     /             2\                               \                   x    /   6*log (x)*(-1 + 7*x)*sin(x)   18*log (x)*(-1 + 7*x)*cos(x)   24*(-1 + 7*x) *log (x)*\1 - 2*x + 7*x /*cos(x)|     |  |/   2             6*cos(x)   3*cos(x)*log(x)   6*log(x)*sin(x)\     /             2\     14*log (x)*cos(x)     2*log (x)*(-1 + 7*x)*sin(x)                \                   x    /          6*(-1 + 7*x)*cos(x)*log(x)   8*(-1 + 7*x) *log (x)*\1 - 2*x + 7*x /*cos(x)|   /  /  /                3*cos(x)\     /             2\   2*(-1 + 7*x)*cos(x)*log(x)\       /             2\              \     3        /                3*cos(x)\     /             2\          4*log (x)*(-1 + 7*x)*cos(x)|       |  -x*log (x)*atan\1 - 2*x + 7*x /*cos(x)
|x*|x*|- |log (x)*sin(x) + -------- - ---------------- - ---------------- - ---------------- + ---------------- + ----------------|*atan\1 - 2*x + 7*x / + ------------------------------------- + --------------------- - ------------------------- + --------------------------- + ----------------------------------------------------------------------------------- + ----------------------------- - ----------------------------------------------- - ---------------------------------------------- - --------------------------- - ----------------------------------------------------------------- + --------------------------- + ---------------------------- + ---------------------------------------------- + ----------------------------------------------| - |x*|- |log(x)*sin(x) - --------|*atan\1 - 2*x + 7*x / + --------------------------| + atan\1 - 2*x + 7*x /*cos(x)*log(x)| *log (x) - --------------------- - 3*log (x)*|x*|- |log(x)*sin(x) - --------|*atan\1 - 2*x + 7*x / + --------------------------| + atan\1 - 2*x + 7*x /*cos(x)*log(x)|*|x*||log (x)*cos(x) - -------- + --------------- + ---------------|*atan\1 - 2*x + 7*x / - --------------------- + --------------------------- + ---------------------------------------------- - -------------------------- + ---------------------------------------------| + 2*|log(x)*sin(x) - --------|*atan\1 - 2*x + 7*x /*log(x) - ---------------------------| + 3*|log (x)*cos(x) - -------- + --------------- + ---------------|*atan\1 - 2*x + 7*x /*log(x) + ----------------------------------------------- + --------------------------- - ---------------------------- + ----------------------------------------------| + 3*|x*||log (x)*cos(x) - -------- + --------------- + ---------------|*atan\1 - 2*x + 7*x / - --------------------- + --------------------------- + ---------------------------------------------- - -------------------------- + ---------------------------------------------| + |x*|- |log(x)*sin(x) - --------|*atan\1 - 2*x + 7*x / + --------------------------| + atan\1 - 2*x + 7*x /*cos(x)*log(x)| *log (x) + 2*|log(x)*sin(x) - --------|*atan\1 - 2*x + 7*x /*log(x) - ---------------------------|*log(x)|*e                                      
|  |  |  |                     3              3                  2                 x                   3                  2       |                                                    2                               2     /                    2\                          2                                                         2                                                            2                                        3                                                2                  /                    2\                                               2                           /                    2\      /                    2\                                       2                                                 2          |   |  |  \                   x    /                                              2   |                                     |                                2             |  |  \                   x    /                                              2   |                                     | |  ||                     2              2                x       |                                            2                          2                                      2                  /                    2\                                      2          |     \                   x    /                                                      2   |     |                     2              2                x       |                                                                2                                       2         /                    2\                                       2           |     |  ||                     2              2                x       |                                            2                          2                                      2                  /                    2\                                      2          |   |  |  \                   x    /                                              2   |                                     |              \                   x    /                                                      2   |       |                                        
|  |  |  \                    x              x                  x                                     x                  x        /                                    /             2\                /             2\      |    /             2\ |          /             2\                                          /             2\                                      /                    2\                  /                    2\                          /                    2\                 2 |    /             2\ |                        /                    2\                          2 |    /             2\ |      |    /             2\ |                /                    2\                           /                    2\           |   |  |                                                          /             2\    |                                     |                /             2\              |  |                                                          /             2\    |                                     | |  |\                    x              x                         /                            /             2\           /             2\                       /             2\                   |    /             2\ |               /                    2\           |                                                                     /             2\    |     \                    x              x                         /                                                /             2\                        /             2\          |    /             2\ |                /                    2\            |     |  |\                    x              x                         /                            /             2\           /             2\                       /             2\                   |    /             2\ |               /                    2\           |   |  |                                                          /             2\    |                                     |                                                                              /             2\    |       |                                        
|  |  |                                                                                                                                                            1 + \1 - 2*x + 7*x /            1 + \1 - 2*x + 7*x /    x*\1 + \1 - 2*x + 7*x / /      1 + \1 - 2*x + 7*x /                                      1 + \1 - 2*x + 7*x /                                      |    /             2\ |                  |    /             2\ |                          |    /             2\ |                x *\1 + \1 - 2*x + 7*x / /                        |    /             2\ |                         x *\1 + \1 - 2*x + 7*x / /    x*\1 + \1 - 2*x + 7*x / /                |    /             2\ |                           |    /             2\ |           |   \  \                                                      1 + \1 - 2*x + 7*x /    /                                     /            1 + \1 - 2*x + 7*x /              \  \                                                      1 + \1 - 2*x + 7*x /    /                                     / |  |                                                                                       1 + \1 - 2*x + 7*x /       1 + \1 - 2*x + 7*x /                   1 + \1 - 2*x + 7*x /                 x*\1 + \1 - 2*x + 7*x / /               |    /             2\ |           |                                                                 1 + \1 - 2*x + 7*x /    |                                                                                                                1 + \1 - 2*x + 7*x /                    1 + \1 - 2*x + 7*x /        x*\1 + \1 - 2*x + 7*x / /                |    /             2\ |            |     |  |                                                                                       1 + \1 - 2*x + 7*x /       1 + \1 - 2*x + 7*x /                   1 + \1 - 2*x + 7*x /                 x*\1 + \1 - 2*x + 7*x / /               |    /             2\ |           |   \  \                                                      1 + \1 - 2*x + 7*x /    /                                     /                                                                          1 + \1 - 2*x + 7*x /    |       |                                        
\  \  \                                                                                                                                                                                                                                                                                                                                                                       \1 + \1 - 2*x + 7*x / /                  \1 + \1 - 2*x + 7*x / /                          \1 + \1 - 2*x + 7*x / /                                                                  \1 + \1 - 2*x + 7*x / /                                                                                                \1 + \1 - 2*x + 7*x / /                         x*\1 + \1 - 2*x + 7*x / /           /                                                                                                                                                                                                                                                                                                    \  \                                                                                                                                                                                                                                      \1 + \1 - 2*x + 7*x / /           /                                                                                         /                                                                                                                                                                                                                             \1 + \1 - 2*x + 7*x / /            /     \  \                                                                                                                                                                                                                                      \1 + \1 - 2*x + 7*x / /           /                                                                                                                                                                                                                              /       /
(x(x(16(7x−1)3log⁡(x)3cos⁡(x)((7x2−2x+1)2+1)2−64(7x−1)3(7x2−2x+1)2log⁡(x)3cos⁡(x)((7x2−2x+1)2+1)3−8(7x−1)2(log⁡(x)sin⁡(x)−3cos⁡(x)x)(7x2−2x+1)log⁡(x)2((7x2−2x+1)2+1)2−16(7x−1)2(7x2−2x+1)log⁡(x)3sin⁡(x)((7x2−2x+1)2+1)2+4(7x−1)(log⁡(x)2cos⁡(x)+6log⁡(x)sin⁡(x)x+3log⁡(x)cos⁡(x)x2−6cos⁡(x)x2)log⁡(x)(7x2−2x+1)2+1+2(7x−1)log⁡(x)3cos⁡(x)(7x2−2x+1)2+1+168(7x−1)(7x2−2x+1)log⁡(x)3cos⁡(x)((7x2−2x+1)2+1)2+14(log⁡(x)sin⁡(x)−3cos⁡(x)x)log⁡(x)2(7x2−2x+1)2+1−(log⁡(x)3sin⁡(x)−9log⁡(x)2cos⁡(x)x+9log⁡(x)2sin⁡(x)x2−18log⁡(x)sin⁡(x)x2+6log⁡(x)2cos⁡(x)x3−18log⁡(x)cos⁡(x)x3+6cos⁡(x)x3)atan⁡(7x2−2x+1)+28log⁡(x)3sin⁡(x)(7x2−2x+1)2+1+48(7x−1)2(7x2−2x+1)log⁡(x)2cos⁡(x)x((7x2−2x+1)2+1)2+12(7x−1)log⁡(x)2sin⁡(x)x((7x2−2x+1)2+1)−84log⁡(x)2cos⁡(x)x((7x2−2x+1)2+1)+6(7x−1)log⁡(x)2cos⁡(x)x2((7x2−2x+1)2+1)−12(7x−1)log⁡(x)cos⁡(x)x2((7x2−2x+1)2+1))+24(7x−1)2(7x2−2x+1)log⁡(x)3cos⁡(x)((7x2−2x+1)2+1)2+6(7x−1)(log⁡(x)sin⁡(x)−3cos⁡(x)x)log⁡(x)2(7x2−2x+1)2+1+6(7x−1)log⁡(x)3sin⁡(x)(7x2−2x+1)2+1−(x(2(7x−1)log⁡(x)cos⁡(x)(7x2−2x+1)2+1−(log⁡(x)sin⁡(x)−3cos⁡(x)x)atan⁡(7x2−2x+1))+log⁡(x)cos⁡(x)atan⁡(7x2−2x+1))3log⁡(x)6−3(x(2(7x−1)log⁡(x)cos⁡(x)(7x2−2x+1)2+1−(log⁡(x)sin⁡(x)−3cos⁡(x)x)atan⁡(7x2−2x+1))+log⁡(x)cos⁡(x)atan⁡(7x2−2x+1))(x(8(7x−1)2(7x2−2x+1)log⁡(x)2cos⁡(x)((7x2−2x+1)2+1)2+2(7x−1)(log⁡(x)sin⁡(x)−3cos⁡(x)x)log⁡(x)(7x2−2x+1)2+1+2(7x−1)log⁡(x)2sin⁡(x)(7x2−2x+1)2+1+(log⁡(x)2cos⁡(x)+6log⁡(x)sin⁡(x)x+3log⁡(x)cos⁡(x)x2−6cos⁡(x)x2)atan⁡(7x2−2x+1)−14log⁡(x)2cos⁡(x)(7x2−2x+1)2+1−6(7x−1)log⁡(x)cos⁡(x)x((7x2−2x+1)2+1))−4(7x−1)log⁡(x)2cos⁡(x)(7x2−2x+1)2+1+2(log⁡(x)sin⁡(x)−3cos⁡(x)x)log⁡(x)atan⁡(7x2−2x+1))log⁡(x)3+3(log⁡(x)2cos⁡(x)+6log⁡(x)sin⁡(x)x+3log⁡(x)cos⁡(x)x2−6cos⁡(x)x2)log⁡(x)atan⁡(7x2−2x+1)−42log⁡(x)3cos⁡(x)(7x2−2x+1)2+1−18(7x−1)log⁡(x)2cos⁡(x)x((7x2−2x+1)2+1))+3(x(8(7x−1)2(7x2−2x+1)log⁡(x)2cos⁡(x)((7x2−2x+1)2+1)2+2(7x−1)(log⁡(x)sin⁡(x)−3cos⁡(x)x)log⁡(x)(7x2−2x+1)2+1+2(7x−1)log⁡(x)2sin⁡(x)(7x2−2x+1)2+1+(log⁡(x)2cos⁡(x)+6log⁡(x)sin⁡(x)x+3log⁡(x)cos⁡(x)x2−6cos⁡(x)x2)atan⁡(7x2−2x+1)−14log⁡(x)2cos⁡(x)(7x2−2x+1)2+1−6(7x−1)log⁡(x)cos⁡(x)x((7x2−2x+1)2+1))−4(7x−1)log⁡(x)2cos⁡(x)(7x2−2x+1)2+1+(x(2(7x−1)log⁡(x)cos⁡(x)(7x2−2x+1)2+1−(log⁡(x)sin⁡(x)−3cos⁡(x)x)atan⁡(7x2−2x+1))+log⁡(x)cos⁡(x)atan⁡(7x2−2x+1))2log⁡(x)3+2(log⁡(x)sin⁡(x)−3cos⁡(x)x)log⁡(x)atan⁡(7x2−2x+1))log⁡(x))e−xlog⁡(x)3cos⁡(x)atan⁡(7x2−2x+1)\left(x \left(x \left(\frac{16 \left(7 x - 1\right)^{3} \log{\left(x \right)}^{3} \cos{\left(x \right)}}{\left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)^{2}} - \frac{64 \left(7 x - 1\right)^{3} \left(7 x^{2} - 2 x + 1\right)^{2} \log{\left(x \right)}^{3} \cos{\left(x \right)}}{\left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)^{3}} - \frac{8 \left(7 x - 1\right)^{2} \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \left(7 x^{2} - 2 x + 1\right) \log{\left(x \right)}^{2}}{\left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)^{2}} - \frac{16 \left(7 x - 1\right)^{2} \left(7 x^{2} - 2 x + 1\right) \log{\left(x \right)}^{3} \sin{\left(x \right)}}{\left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)^{2}} + \frac{4 \left(7 x - 1\right) \left(\log{\left(x \right)}^{2} \cos{\left(x \right)} + \frac{6 \log{\left(x \right)} \sin{\left(x \right)}}{x} + \frac{3 \log{\left(x \right)} \cos{\left(x \right)}}{x^{2}} - \frac{6 \cos{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + \frac{2 \left(7 x - 1\right) \log{\left(x \right)}^{3} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + \frac{168 \left(7 x - 1\right) \left(7 x^{2} - 2 x + 1\right) \log{\left(x \right)}^{3} \cos{\left(x \right)}}{\left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)^{2}} + \frac{14 \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \log{\left(x \right)}^{2}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} - \left(\log{\left(x \right)}^{3} \sin{\left(x \right)} - \frac{9 \log{\left(x \right)}^{2} \cos{\left(x \right)}}{x} + \frac{9 \log{\left(x \right)}^{2} \sin{\left(x \right)}}{x^{2}} - \frac{18 \log{\left(x \right)} \sin{\left(x \right)}}{x^{2}} + \frac{6 \log{\left(x \right)}^{2} \cos{\left(x \right)}}{x^{3}} - \frac{18 \log{\left(x \right)} \cos{\left(x \right)}}{x^{3}} + \frac{6 \cos{\left(x \right)}}{x^{3}}\right) \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)} + \frac{28 \log{\left(x \right)}^{3} \sin{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + \frac{48 \left(7 x - 1\right)^{2} \left(7 x^{2} - 2 x + 1\right) \log{\left(x \right)}^{2} \cos{\left(x \right)}}{x \left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)^{2}} + \frac{12 \left(7 x - 1\right) \log{\left(x \right)}^{2} \sin{\left(x \right)}}{x \left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)} - \frac{84 \log{\left(x \right)}^{2} \cos{\left(x \right)}}{x \left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)} + \frac{6 \left(7 x - 1\right) \log{\left(x \right)}^{2} \cos{\left(x \right)}}{x^{2} \left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)} - \frac{12 \left(7 x - 1\right) \log{\left(x \right)} \cos{\left(x \right)}}{x^{2} \left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)}\right) + \frac{24 \left(7 x - 1\right)^{2} \left(7 x^{2} - 2 x + 1\right) \log{\left(x \right)}^{3} \cos{\left(x \right)}}{\left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)^{2}} + \frac{6 \left(7 x - 1\right) \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \log{\left(x \right)}^{2}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + \frac{6 \left(7 x - 1\right) \log{\left(x \right)}^{3} \sin{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} - \left(x \left(\frac{2 \left(7 x - 1\right) \log{\left(x \right)} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} - \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right) + \log{\left(x \right)} \cos{\left(x \right)} \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right)^{3} \log{\left(x \right)}^{6} - 3 \left(x \left(\frac{2 \left(7 x - 1\right) \log{\left(x \right)} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} - \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right) + \log{\left(x \right)} \cos{\left(x \right)} \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right) \left(x \left(\frac{8 \left(7 x - 1\right)^{2} \left(7 x^{2} - 2 x + 1\right) \log{\left(x \right)}^{2} \cos{\left(x \right)}}{\left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)^{2}} + \frac{2 \left(7 x - 1\right) \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \log{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + \frac{2 \left(7 x - 1\right) \log{\left(x \right)}^{2} \sin{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + \left(\log{\left(x \right)}^{2} \cos{\left(x \right)} + \frac{6 \log{\left(x \right)} \sin{\left(x \right)}}{x} + \frac{3 \log{\left(x \right)} \cos{\left(x \right)}}{x^{2}} - \frac{6 \cos{\left(x \right)}}{x^{2}}\right) \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)} - \frac{14 \log{\left(x \right)}^{2} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} - \frac{6 \left(7 x - 1\right) \log{\left(x \right)} \cos{\left(x \right)}}{x \left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)}\right) - \frac{4 \left(7 x - 1\right) \log{\left(x \right)}^{2} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + 2 \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \log{\left(x \right)} \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right) \log{\left(x \right)}^{3} + 3 \left(\log{\left(x \right)}^{2} \cos{\left(x \right)} + \frac{6 \log{\left(x \right)} \sin{\left(x \right)}}{x} + \frac{3 \log{\left(x \right)} \cos{\left(x \right)}}{x^{2}} - \frac{6 \cos{\left(x \right)}}{x^{2}}\right) \log{\left(x \right)} \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)} - \frac{42 \log{\left(x \right)}^{3} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} - \frac{18 \left(7 x - 1\right) \log{\left(x \right)}^{2} \cos{\left(x \right)}}{x \left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)}\right) + 3 \left(x \left(\frac{8 \left(7 x - 1\right)^{2} \left(7 x^{2} - 2 x + 1\right) \log{\left(x \right)}^{2} \cos{\left(x \right)}}{\left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)^{2}} + \frac{2 \left(7 x - 1\right) \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \log{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + \frac{2 \left(7 x - 1\right) \log{\left(x \right)}^{2} \sin{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + \left(\log{\left(x \right)}^{2} \cos{\left(x \right)} + \frac{6 \log{\left(x \right)} \sin{\left(x \right)}}{x} + \frac{3 \log{\left(x \right)} \cos{\left(x \right)}}{x^{2}} - \frac{6 \cos{\left(x \right)}}{x^{2}}\right) \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)} - \frac{14 \log{\left(x \right)}^{2} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} - \frac{6 \left(7 x - 1\right) \log{\left(x \right)} \cos{\left(x \right)}}{x \left(\left(7 x^{2} - 2 x + 1\right)^{2} + 1\right)}\right) - \frac{4 \left(7 x - 1\right) \log{\left(x \right)}^{2} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} + \left(x \left(\frac{2 \left(7 x - 1\right) \log{\left(x \right)} \cos{\left(x \right)}}{\left(7 x^{2} - 2 x + 1\right)^{2} + 1} - \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right) + \log{\left(x \right)} \cos{\left(x \right)} \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right)^{2} \log{\left(x \right)}^{3} + 2 \left(\log{\left(x \right)} \sin{\left(x \right)} - \frac{3 \cos{\left(x \right)}}{x}\right) \log{\left(x \right)} \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}\right) \log{\left(x \right)}\right) e^{- x \log{\left(x \right)}^{3} \cos{\left(x \right)} \operatorname{atan}{\left(7 x^{2} - 2 x + 1 \right)}}
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