# How do you differentiate #[(x^3-3x^2+4)/(x^2)]#?

##### 2 Answers

#### Explanation:

Simplify the expression as

Now differentiate term by term to get 1-

You could also differentiate this expression by using the quotient rule.

#### Explanation:

Alternatively, you can use the quotient rule to differentiate this function.

The quotient rule tells you that a function that can be written as the quotient of two other functions

can be differentiated by using this formula

In your case, you have

and

The derivative of

This is equivalent to

FInally, you can simplify this expression to get

If you want, you can go on to factor this by using the *difference of two cubes*