Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
tan(4*x) /tan(4*x) / 2 \ \
x *|-------- + \4 + 4*tan (4*x)/*log(x)|
\ x /
$$x^{\tan{\left(4 x \right)}} \left(\left(4 \tan^{2}{\left(4 x \right)} + 4\right) \log{\left(x \right)} + \frac{\tan{\left(4 x \right)}}{x}\right)$$
/ 2 / 2 \ \
tan(4*x) |/tan(4*x) / 2 \ \ tan(4*x) 8*\1 + tan (4*x)/ / 2 \ |
x *||-------- + 4*\1 + tan (4*x)/*log(x)| - -------- + ----------------- + 32*\1 + tan (4*x)/*log(x)*tan(4*x)|
|\ x / 2 x |
\ x /
$$x^{\tan{\left(4 x \right)}} \left(\left(4 \left(\tan^{2}{\left(4 x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(4 x \right)}}{x}\right)^{2} + 32 \left(\tan^{2}{\left(4 x \right)} + 1\right) \log{\left(x \right)} \tan{\left(4 x \right)} + \frac{8 \left(\tan^{2}{\left(4 x \right)} + 1\right)}{x} - \frac{\tan{\left(4 x \right)}}{x^{2}}\right)$$
/ 3 / 2 \ / / 2 \ \ 2 / 2 \ \
tan(4*x) |/tan(4*x) / 2 \ \ 12*\1 + tan (4*x)/ 2*tan(4*x) /tan(4*x) / 2 \ \ | tan(4*x) 8*\1 + tan (4*x)/ / 2 \ | / 2 \ 96*\1 + tan (4*x)/*tan(4*x) 2 / 2 \ |
x *||-------- + 4*\1 + tan (4*x)/*log(x)| - ------------------ + ---------- + 3*|-------- + 4*\1 + tan (4*x)/*log(x)|*|- -------- + ----------------- + 32*\1 + tan (4*x)/*log(x)*tan(4*x)| + 128*\1 + tan (4*x)/ *log(x) + --------------------------- + 256*tan (4*x)*\1 + tan (4*x)/*log(x)|
|\ x / 2 3 \ x / | 2 x | x |
\ x x \ x / /
$$x^{\tan{\left(4 x \right)}} \left(\left(4 \left(\tan^{2}{\left(4 x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(4 x \right)}}{x}\right)^{3} + 3 \left(4 \left(\tan^{2}{\left(4 x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(4 x \right)}}{x}\right) \left(32 \left(\tan^{2}{\left(4 x \right)} + 1\right) \log{\left(x \right)} \tan{\left(4 x \right)} + \frac{8 \left(\tan^{2}{\left(4 x \right)} + 1\right)}{x} - \frac{\tan{\left(4 x \right)}}{x^{2}}\right) + 128 \left(\tan^{2}{\left(4 x \right)} + 1\right)^{2} \log{\left(x \right)} + 256 \left(\tan^{2}{\left(4 x \right)} + 1\right) \log{\left(x \right)} \tan^{2}{\left(4 x \right)} + \frac{96 \left(\tan^{2}{\left(4 x \right)} + 1\right) \tan{\left(4 x \right)}}{x} - \frac{12 \left(\tan^{2}{\left(4 x \right)} + 1\right)}{x^{2}} + \frac{2 \tan{\left(4 x \right)}}{x^{3}}\right)$$