# How do you differentiate #f(x)=(x^3-3x)(2x^2+3x+5)# using the product rule?

##### 2 Answers

The answer is

#### Explanation:

According to the product rule,

This just means that when you differentiate a product, you do derivative of the first, leave second alone, plus derivative of the second, leave the first alone.

So the first would be

Okay, now the derivative of the first is

The derivative of the second is

Multiply it by the first and get

Add both portions together now:

If you multiply it all out and simplify, you should get

#### Explanation:

The product rule states that for a function,

The function

By applying the power rule, we see that;

Plugging