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- Derivada de una función implícitamente dada
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- Derivada parcial de la función
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- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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- Derivada de:
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Derivada de x^-0,2
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Derivada de e-x
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Derivada de e^e
- Derivada de e^((3*x)^2)
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Expresiones idénticas
- x*exp(-log^ tres (x)*cos(x)*arctg(7x^ dos -2x+ uno)x)
- x multiplicar por exponente de ( menos logaritmo de al cubo (x) multiplicar por coseno de (x) multiplicar por arctg(7x al cuadrado menos 2x más 1)x)
- x multiplicar por exponente de ( menos logaritmo de en el grado tres (x) multiplicar por coseno de (x) multiplicar por arctg(7x en el grado dos menos 2x más uno)x)
- x*exp(-log3(x)*cos(x)*arctg(7x2-2x+1)x)
- x*exp-log3x*cosx*arctg7x2-2x+1x
- x*exp(-log³(x)*cos(x)*arctg(7x²-2x+1)x)
- x*exp(-log en el grado 3(x)*cos(x)*arctg(7x en el grado 2-2x+1)x)
- xexp(-log^3(x)cos(x)arctg(7x^2-2x+1)x)
- xexp(-log3(x)cos(x)arctg(7x2-2x+1)x)
- xexp-log3xcosxarctg7x2-2x+1x
- xexp-log^3xcosxarctg7x^2-2x+1x
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Expresiones semejantes
- x*exp(-log^3(x)*cos(x)*arctg(7x^2+2x+1)x)
- x*exp(-log^3(x)*cos(x)*arctg(7x^2-2x-1)x)
- x*exp(log^3(x)*cos(x)*arctg(7x^2-2x+1)x)
- x*exp(-log^3(x)*cosx*arctg(7x^2-2x+1)x)
Derivada de x*exp(-log^3(x)*cos(x)*arctg(7x^2-2x+1)x)
Solución
Ha introducido
[src]
3 / 2 \ -log (x)*cos(x)*atan\7*x - 2*x + 1/*x x*e
$$x e^{x - \log{\left(x \right)}^{3} \cos{\left(x \right)} \operatorname{atan}{\left(\left(7 x^{2} - 2 x\right) + 1 \right)}}$$
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/ / /
$$x \left(x \left(- \frac{\left(14 x - 2\right) \log{\left(x \right)}^{3} \cos{\left(x \right)}}{\left(\left(7 x^{2} - 2 x\right) + 1\right)^{2} + 1} + \left(\log{\left(x \right)}^{3} \sin{\left(x \right)} - \frac{3 \log{\left(x \right)}^{2} \cos{\left(x \right)}}{x}\right) \operatorname{atan}{\left(\left(7 x^{2} - 2 x\right) + 1 \right)}\right) + - \log{\left(x \right)}^{3} \cos{\left(x \right)} \operatorname{atan}{\left(\left(7 x^{2} - 2 x\right) + 1 \right)}\right) e^{x - \log{\left(x \right)}^{3} \cos{\left(x \right)} \operatorname{atan}{\left(\left(7 x^{2} - 2 x\right) + 1 \right)}} + e^{x - \log{\left(x \right)}^{3} \cos{\left(x \right)} \operatorname{atan}{\left(\left(7 x^{2} - 2 x\right) + 1 \right)}}$$
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 / / / / /
$$\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)}$$
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 / / / / /
$$\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)}}$$