# How do you find the derivative of #(2x^2 +x - 3)/x#?

##### 2 Answers

Jan 18, 2016

#### Explanation:

The quotient rule states that for a function

Here, we have

Applying the quotient rule, we have the derivative equalling

#((4x+1)(x)-(2x^2+x-3)(1))/x^2#

#=(2x^2+3)/x^2#

Jan 18, 2016

The derivative can be written:

#### Explanation:

This can clearly be differentiated using the quotient rule, but it is also possible to rewrite the expression before differentiating.

So the derivative is:

This result can be written in other forms: