For a continuous and differentiable function defined on the closed interval
MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
For a continuous and differentiable function f defined on the closed interval [a,b], which of the following sets of points must be examined to locate its absolute maximum and minimum values?
(a) Only the points where f′(x)=0 in (a,b)
(b) All points where f′(x)=0 or f′(x) is undefined in (a,b)
(c) All points where f′(x)=0 or f′(x) is undefined in (a,b), together with x=a and x=b
(d) All points where f′′(x)=0 in (a,b), together with x=a and x=b