Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
2 / 2 \
tan (x) |tan (x) / 2 \ |
x *|------- + \2 + 2*tan (x)/*log(x)*tan(x)|
\ x /
$$x^{\tan^{2}{\left(x \right)}} \left(\left(2 \tan^{2}{\left(x \right)} + 2\right) \log{\left(x \right)} \tan{\left(x \right)} + \frac{\tan^{2}{\left(x \right)}}{x}\right)$$
2 / 2 2 2 / 2 \ \
tan (x) |/tan(x) / 2 \ \ 2 tan (x) / 2 \ 4*\1 + tan (x)/*tan(x) 2 / 2 \ |
x *||------ + 2*\1 + tan (x)/*log(x)| *tan (x) - ------- + 2*\1 + tan (x)/ *log(x) + ---------------------- + 4*tan (x)*\1 + tan (x)/*log(x)|
|\ x / 2 x |
\ x /
$$x^{\tan^{2}{\left(x \right)}} \left(\left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)^{2} \tan^{2}{\left(x \right)} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan^{2}{\left(x \right)} + \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} - \frac{\tan^{2}{\left(x \right)}}{x^{2}}\right)$$
/ 2 \
2 | 3 2 / 2 \ / 2 \ / 2 2 / 2 \ \ 2 / 2 \ 2 |
tan (x) |/tan(x) / 2 \ \ 3 2*tan (x) 6*\1 + tan (x)/ 6*\1 + tan (x)/*tan(x) /tan(x) / 2 \ \ | tan (x) / 2 \ 4*\1 + tan (x)/*tan(x) 2 / 2 \ | 3 / 2 \ 12*tan (x)*\1 + tan (x)/ / 2 \ |
x *||------ + 2*\1 + tan (x)/*log(x)| *tan (x) + --------- + ---------------- - ---------------------- + 3*|------ + 2*\1 + tan (x)/*log(x)|*|- ------- + 2*\1 + tan (x)/ *log(x) + ---------------------- + 4*tan (x)*\1 + tan (x)/*log(x)|*tan(x) + 8*tan (x)*\1 + tan (x)/*log(x) + ------------------------ + 16*\1 + tan (x)/ *log(x)*tan(x)|
|\ x / 3 x 2 \ x / | 2 x | x |
\ x x \ x / /
$$x^{\tan^{2}{\left(x \right)}} \left(\left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)^{3} \tan^{3}{\left(x \right)} + 3 \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan^{2}{\left(x \right)} + \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} - \frac{\tan^{2}{\left(x \right)}}{x^{2}}\right) \tan{\left(x \right)} + 16 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} \tan{\left(x \right)} + 8 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan^{3}{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{x} + \frac{12 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{x} - \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x^{2}} + \frac{2 \tan^{2}{\left(x \right)}}{x^{3}}\right)$$