### Home > APCALC > Chapter 3 > Lesson 3.3.2 > Problem3-107

3-107.

Oliver is trying to determine the derivative of $f(x) = −4x^3$ at $x = 2$. He uses substitution and gets $f(2) = −32$. He then takes the derivative and gets $f^\prime(2) = 0$. What went wrong? Why did his method not work?

Consider the order of Oliver's steps.