### Home > APCALC > Chapter 7 > Lesson 7.2.2 > Problem7-70

7-70.

After analyzing a function $f$, Edwin knew that $f^\prime(3) = 0$ and $f^{\prime\prime}(3) = -2$. He therefore concluded that f had an absolute maximum at $x = 3$. Edwina, his girlfriend, is not so sure. Explain why Edwina is unwilling to accept Edwin’s conclusion. Homework Help ✎

Think about the definition of an absolute maximum, and the difference between that and a relative maximum.