If a differentiable function has a first derivative that is increasing on the open…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

If a differentiable function

f

has a first derivative

f'

that is increasing on the open interval

(2,5)

, which of the following statements must be true about the graph of

f

on that interval? (a)

f

is increasing on

(2,5)

. (b) The derivative

f'

is positive on

(2,5)

. (c) The graph of

f

is concave up on

(2,5)

. (d) The graph of

f

is concave down on

(2,5)