Question

Differentiate $e^{\sin x}$

• A. $e^{\sin x}\cos x$
• B. $-e^{\sin x}\cos x$
• C. $e^{-\sin x}\cos x$
• D. $e^{\cos x}\sin x$

Answer 1

The correct option is A $e^{\sin x}\cos x$

Given, $y=e^{\sin x}$

By using chain rule,

$\frac{dy}{dx}=e^{\sin x}\frac{d\sin x}{dx}$

$\frac{dy}{dx}=e^{\sin x}\cos x$