### Home > CALC > Chapter 7 > Lesson 7.2.2 > Problem 7-77

7-77.

After analyzing a function *f*(*x*), Edwin knew that *f* ′(3) = 0 and *f* ″(3) = −2. He therefore concluded that *f*(*x*) has 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.