# How do you find the instantaneous rate of change of the function #x^3 +2x^2 + x# when x=1?

##### 1 Answer

Feb 6, 2016

#### Explanation:

Find the value of the derivative at

To find the derivative of the function, use the power rule:

#f'(x)=3x^2+4x+1#

The instantaneous rate of change and slope of the tangent line at

#f'(1)=3(1)^2+4(1)+1=8#