Question

Which one of the following statements is true?

A. If f ′′(x) > 0 on the interval (a, b) then f(x) is concave down on the interval (a, b).
B. If f ′(x) > 0 on the interval (a, b) then f(x) is increasing on the interval (a, b).
C. If f ′(c) = 0, then x = c is a relative maximum on the graph of f(x).
D. None of these are true.

Answer 1

B is true
C implies critical point
A is false
D is false