Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
tan(5*x) /tan(5*x) / 2 \ \
x *|-------- + \5 + 5*tan (5*x)/*log(x)|
\ x /
$$x^{\tan{\left(5 x \right)}} \left(\left(5 \tan^{2}{\left(5 x \right)} + 5\right) \log{\left(x \right)} + \frac{\tan{\left(5 x \right)}}{x}\right)$$
/ 2 / 2 \ \
tan(5*x) |/tan(5*x) / 2 \ \ tan(5*x) 10*\1 + tan (5*x)/ / 2 \ |
x *||-------- + 5*\1 + tan (5*x)/*log(x)| - -------- + ------------------ + 50*\1 + tan (5*x)/*log(x)*tan(5*x)|
|\ x / 2 x |
\ x /
$$x^{\tan{\left(5 x \right)}} \left(\left(5 \left(\tan^{2}{\left(5 x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(5 x \right)}}{x}\right)^{2} + 50 \left(\tan^{2}{\left(5 x \right)} + 1\right) \log{\left(x \right)} \tan{\left(5 x \right)} + \frac{10 \left(\tan^{2}{\left(5 x \right)} + 1\right)}{x} - \frac{\tan{\left(5 x \right)}}{x^{2}}\right)$$
/ 3 / 2 \ / / 2 \ \ 2 / 2 \ \
tan(5*x) |/tan(5*x) / 2 \ \ 15*\1 + tan (5*x)/ 2*tan(5*x) /tan(5*x) / 2 \ \ | tan(5*x) 10*\1 + tan (5*x)/ / 2 \ | / 2 \ 150*\1 + tan (5*x)/*tan(5*x) 2 / 2 \ |
x *||-------- + 5*\1 + tan (5*x)/*log(x)| - ------------------ + ---------- + 3*|-------- + 5*\1 + tan (5*x)/*log(x)|*|- -------- + ------------------ + 50*\1 + tan (5*x)/*log(x)*tan(5*x)| + 250*\1 + tan (5*x)/ *log(x) + ---------------------------- + 500*tan (5*x)*\1 + tan (5*x)/*log(x)|
|\ x / 2 3 \ x / | 2 x | x |
\ x x \ x / /
$$x^{\tan{\left(5 x \right)}} \left(\left(5 \left(\tan^{2}{\left(5 x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(5 x \right)}}{x}\right)^{3} + 3 \left(5 \left(\tan^{2}{\left(5 x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(5 x \right)}}{x}\right) \left(50 \left(\tan^{2}{\left(5 x \right)} + 1\right) \log{\left(x \right)} \tan{\left(5 x \right)} + \frac{10 \left(\tan^{2}{\left(5 x \right)} + 1\right)}{x} - \frac{\tan{\left(5 x \right)}}{x^{2}}\right) + 250 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2} \log{\left(x \right)} + 500 \left(\tan^{2}{\left(5 x \right)} + 1\right) \log{\left(x \right)} \tan^{2}{\left(5 x \right)} + \frac{150 \left(\tan^{2}{\left(5 x \right)} + 1\right) \tan{\left(5 x \right)}}{x} - \frac{15 \left(\tan^{2}{\left(5 x \right)} + 1\right)}{x^{2}} + \frac{2 \tan{\left(5 x \right)}}{x^{3}}\right)$$