Which of the following conditions ensures that a differentiable function is strictly…

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

Problem

Which of the following conditions ensures that a differentiable function

f

is strictly decreasing on an interval

(a,b)

? (a)

f'(x) \leq 0

for all

x \in (a,b)

(b)

f''(x) < 0

for all

x \in (a,b)

(c)

f'(x) < 0

for all

x \in (a,b)

(d)

f'(x) = 0

for all

x \in (a,b)