Question

If y = e^sin x2, find dy / dx.

Answer 1

$\\ \sf \: We \: have , y = e^{sin{(x)^2}} , \\ \\ \sf \dfrac{dy}{dx} = e^{sin} × \dfrac{d}{dx} (sin( x^2)) \\ \\ \sf \dfrac{dy}{dx}= e^{sin{(x)^2}} \times cos {(x)}^{2} \times \dfrac{d}{dx} (x2) \\ \\ \sf \dfrac{dy}{dx}= e^{sin{(x)^2}} \times cos {(x)}^{2} \times (2x) \\ \\ \sf \dfrac{dy}{dx}= 2 x cos( {x})^{2} e^{sin{(x)^2}} .$