# How do you differentiate #g(z) = z^2cos(z^2-z)# using the product rule?

##### 1 Answer

Dec 24, 2015

#### Answer:

First, see that the two factors here are

Second, we'll need also the chain rule to derivate the second term.

#### Explanation:

- Product rule states that for
#y=f(x)g(x)# ,#(dy)/(dx)=(dy)/(du)(du)/(dx)# - Chain rule states that
#(dy)/(dx)=(dy)/(du)(du)/(dx)#

Here, we can rename

So: