A differentiable function satisfies ,

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A differentiable function ff satisfies f′(2)=0f'(2)=0, f′′(2)<0f''(2)<0, and f′f' changes sign from positive to negative at x=2x=2. Explain what this information implies about the behavior of ff at x=2x=2.

Related theory

Browse the problem library