# What is the instantaneous rate of change of #f(x)=x^3- x^2+3x # at #x=3#?

##### 1 Answer

Feb 1, 2016

24

#### Explanation:

The instantaneous rate of change at some point is simply the derivative at that point. So to solve this problem, all we do is find the derivative of the function and evaluate it at

Finding the derivative is easy; we use the power rule:

Now we set

Therefore our instantaneous rate of change at