# How do you differentiate #p(y) = y^2sin^2(y)cos(y)# using the product rule?

##### 1 Answer

#### Answer:

Consider two of the three functions forming p(y) as a single function, and then use the product rule a second time when calculating its derivative.

#### Explanation:

The product rule states that

Additionally, let's let

We now have

Applying the product rule gives us

But to calculate

Then, substituting for

Putting it all together gives us