# What is the derivative of #f(x)=(4x-1)/x#?

##### 2 Answers

Sep 15, 2016

#### Explanation:

We have:

This function can be differentiated using the "quotient rule":

Sep 15, 2016

#### Explanation:

Alternatively, we can split up the fraction:

#f(x)=(4x-1)/x=(4x)/x-1/x=4-x^-1#

Use the power rule,

#f'(x)=0-(-x^-2)=1/x^2#