Question

the derivative of e^(sinx²)​

Answer 1

Answer:

By chain rule,

$\huge\boxed{y = {e}^{ { \sin( {x}^{2} ) }} }\\ \frac{dy}{dx} = \frac{d( {e}^{ \sin( {x}^{2} ) } )}{dx} \times \frac{d( \sin( {x}^{2} )) }{dx} \times \frac{d( {x}^{2} )}{dx} \\ \boxed{ \frac{dy}{dx} = 2x \cos( {x}^{2} ) {e}^{ \sin( {x}^{2} ) } }$

hope this helps.