# How do you differentiate g(y) =(3x-5) ( x^2 - 1)  using the product rule?

Apr 16, 2017

$g ' \left(y\right) = 9 {x}^{2} - 10 x - 3$

#### Explanation:

However, using product rule:

$g ' \left(y\right) = \left(3 x - 5\right) \left(2 x\right) + \left({x}^{2} - 1\right) \left(3\right)$

Distribute:

$g ' \left(y\right) = 6 {x}^{2} - 10 x + 3 {x}^{2} - 3$

Simplify:

$g ' \left(y\right) = 9 {x}^{2} - 10 x - 3$

Note: You can also distribute and use the power rule instead.