# How do you differentiate #f(x)= (2x^2-5)(x+1) # using the product rule?

##### 1 Answer

Mar 2, 2017

#### Answer:

#### Explanation:

The product rule is

Written informally, this is:

(derivative of product)=(first)x(derivative of second)+(second)x(derivative of the first).

In this case the 'first' is

The derivative of the 'first' is calculated as follows:

The derivative of the 'second' is calculated:

Using the product rule (and the derivatives worked out above) gives: