# What is the derivative of #x + 1/x#?

##### 1 Answer

May 8, 2016

#### Explanation:

We will want to use the power rule, which states that the derivative of

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

Applying the power rule to both, we obtain the derivative:

#f'(x)=1x^(1-1)+(-1)x^(-1-1)#

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

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