For a continuous differentiable function on the closed interval
MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation
Problem
For a continuous differentiable function f on the closed interval [a,b], the absolute maximum and minimum values of f on the interval can occur at which of the following points?
(a) Only at interior points where f′(x)=0
(b) At any point where f′′(x)=0
(c) At any interior critical point where f′(x)=0 or at the endpoints x=a or x=b
(d) Only at the endpoints x=a or x=b