# What is the derivative of # f(x)=x^3-x#?

##### 1 Answer

May 21, 2016

#### Explanation:

Both of these terms can be differentiated using the

#color(blue)" power rule"#

#d/dx(ax^n)=nax^(n-1)#

#f(x)=x^3-x#

#rArrf'(x)=(3xx1)x^(3-1)-(1xx1)x^(1-1)=3x^2-1# (Noting that

#x^(1-1)=x^0=1)#