Question

Find $\frac{dy}{dx}$ if $y=e^{x}sinx$

• A.
• B.
• C.
• D. none of these

Answer 1

The correct option is C

$y=e^{x}sinx$.
So $\frac{dy}{dx}=\frac{d}{dx}\left(e^{x}sinx\right)=e^x\frac{d}{dx}\left(sinx\right)+sinx\frac{d}{dx}\left(e^x\right)$
=$e^{x}cosx+e^{x}sinx=e^x(cosx+sinx)$.