# How do you differentiate #f(x)= (x^3+2x+1)*sqrtsinx# using the product rule?

##### 1 Answer

Dec 15, 2015

#### Answer:

#### Explanation:

The product rule is:

If

#f'(x) = g'(x) * h(x) + g(x) * h'(x)#

In your case,

and

So, let's compute the derivatives of

To build the derivative of

Now, the only thing left to do is use the product rule: