Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
cosh(x) /cosh(x) \
(x - 5) *|------- + log(x - 5)*sinh(x)|
\ x - 5 /
$$\left(x - 5\right)^{\cosh{\left(x \right)}} \left(\log{\left(x - 5 \right)} \sinh{\left(x \right)} + \frac{\cosh{\left(x \right)}}{x - 5}\right)$$
/ 2 \
cosh(x) |/cosh(x) \ cosh(x) 2*sinh(x)|
(-5 + x) *||------- + log(-5 + x)*sinh(x)| + cosh(x)*log(-5 + x) - --------- + ---------|
|\ -5 + x / 2 -5 + x |
\ (-5 + x) /
$$\left(x - 5\right)^{\cosh{\left(x \right)}} \left(\left(\log{\left(x - 5 \right)} \sinh{\left(x \right)} + \frac{\cosh{\left(x \right)}}{x - 5}\right)^{2} + \log{\left(x - 5 \right)} \cosh{\left(x \right)} + \frac{2 \sinh{\left(x \right)}}{x - 5} - \frac{\cosh{\left(x \right)}}{\left(x - 5\right)^{2}}\right)$$
/ 3 \
cosh(x) |/cosh(x) \ 3*sinh(x) 2*cosh(x) 3*cosh(x) /cosh(x) \ / cosh(x) 2*sinh(x)\|
(-5 + x) *||------- + log(-5 + x)*sinh(x)| + log(-5 + x)*sinh(x) - --------- + --------- + --------- + 3*|------- + log(-5 + x)*sinh(x)|*|cosh(x)*log(-5 + x) - --------- + ---------||
|\ -5 + x / 2 3 -5 + x \ -5 + x / | 2 -5 + x ||
\ (-5 + x) (-5 + x) \ (-5 + x) //
$$\left(x - 5\right)^{\cosh{\left(x \right)}} \left(\left(\log{\left(x - 5 \right)} \sinh{\left(x \right)} + \frac{\cosh{\left(x \right)}}{x - 5}\right)^{3} + 3 \left(\log{\left(x - 5 \right)} \sinh{\left(x \right)} + \frac{\cosh{\left(x \right)}}{x - 5}\right) \left(\log{\left(x - 5 \right)} \cosh{\left(x \right)} + \frac{2 \sinh{\left(x \right)}}{x - 5} - \frac{\cosh{\left(x \right)}}{\left(x - 5\right)^{2}}\right) + \log{\left(x - 5 \right)} \sinh{\left(x \right)} + \frac{3 \cosh{\left(x \right)}}{x - 5} - \frac{3 \sinh{\left(x \right)}}{\left(x - 5\right)^{2}} + \frac{2 \cosh{\left(x \right)}}{\left(x - 5\right)^{3}}\right)$$