Question

if y=(sin x)^ x -x^(sin x) , find dy/dx​

Answer 1

Answer:

$therefore, \\ \frac{dy}{dx} = { \sin(x) }^{x}(x \cot(x) + log( \sin(x) ) - {x}^{ \sin(x) } ( \cos(x). log(x)+ \frac{ \sin(x) }{x})$

hope this will help you.