# How do you differentiate #g(y) =sqrtx (x^2 - 2)^(3/2 # using the product rule?

##### 1 Answer

#### Answer:

#### Explanation:

I'm assuming that "

This exercise will require the product rule as well as the chain rule.

Recall that the product rule differentiates two functions that are products of one another.

For the function

**(1)**

Recall that the chain rule differentiates a function that is a composition of two functions.

For the function

**(2)**

To begin, write all powers as exponents:

Differentiate

From here, we clean it up.