Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
/ 3\ / 2 \
\x / | x 2 |
(log(x)) *|------ + 3*x *log(log(x))|
\log(x) /
$$\left(3 x^{2} \log{\left(\log{\left(x \right)} \right)} + \frac{x^{2}}{\log{\left(x \right)}}\right) \log{\left(x \right)}^{x^{3}}$$
/ 3\ / 2\
\x / | 1 5 3 / 1 \ |
x*(log(x)) *|- ------- + ------ + 6*log(log(x)) + x *|------ + 3*log(log(x))| |
| 2 log(x) \log(x) / |
\ log (x) /
$$x \left(x^{3} \left(3 \log{\left(\log{\left(x \right)} \right)} + \frac{1}{\log{\left(x \right)}}\right)^{2} + 6 \log{\left(\log{\left(x \right)} \right)} + \frac{5}{\log{\left(x \right)}} - \frac{1}{\log{\left(x \right)}^{2}}\right) \log{\left(x \right)}^{x^{3}}$$
/ 3\ / 3 \
\x / | 6 2 11 6 / 1 \ 3 / 1 \ / 1 5 \|
(log(x)) *|- ------- + ------- + 6*log(log(x)) + ------ + x *|------ + 3*log(log(x))| + 3*x *|------ + 3*log(log(x))|*|- ------- + ------ + 6*log(log(x))||
| 2 3 log(x) \log(x) / \log(x) / | 2 log(x) ||
\ log (x) log (x) \ log (x) //
$$\left(x^{6} \left(3 \log{\left(\log{\left(x \right)} \right)} + \frac{1}{\log{\left(x \right)}}\right)^{3} + 3 x^{3} \left(3 \log{\left(\log{\left(x \right)} \right)} + \frac{1}{\log{\left(x \right)}}\right) \left(6 \log{\left(\log{\left(x \right)} \right)} + \frac{5}{\log{\left(x \right)}} - \frac{1}{\log{\left(x \right)}^{2}}\right) + 6 \log{\left(\log{\left(x \right)} \right)} + \frac{11}{\log{\left(x \right)}} - \frac{6}{\log{\left(x \right)}^{2}} + \frac{2}{\log{\left(x \right)}^{3}}\right) \log{\left(x \right)}^{x^{3}}$$