# Derivative of Sine

#### p4pri

Hey,

how would you differentiate y=xsinx

I got xcosx
but that's wrong.

Hey,

how would you differentiate y=xsinx

I got xcosx
but that's wrong.
Hi p4pri,

$$\displaystyle xsinx$$ is a product, hence you need to use the product rule of differentiation.

$$\displaystyle \frac{d}{dx}xsinx=x\frac{d}{dx}sinx+sinx\frac{d}{dx}x$$

p4pri