Question

hallar la derivada porfa​

Answer 1

Respuesta: $x^{\sin \left(x\right)}\left(\cos \left(x\right)\ln \left(x\right)+\frac{\sin \left(x\right)}{x}\right)$

Explicación paso a paso:

$\frac{d}{dx}\left(x^{\sin \left(x\right)}\right)\\\frac{d}{dx}\left(e^{\sin \left(x\right)\ln \left(x\right)}\right)\\e^{\sin \left(x\right)\ln \left(x\right)}\frac{d}{dx}\left(\sin \left(x\right)\ln \left(x\right)\right)\\e^{\sin \left(x\right)\ln \left(x\right)}\left(\cos \left(x\right)\ln \left(x\right)+\frac{\sin \left(x\right)}{x}\right)\\x^{\sin \left(x\right)}\left(\cos \left(x\right)\ln \left(x\right)+\frac{\sin \left(x\right)}{x}\right)$