MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
If for a differentiable function f we have f′(2)=0, then x=2 is:
(a) x=2 is necessarily a point of inflection of f.
(b) x=2 is necessarily a local maximum of f.
(c) x=2 is a critical point of f.
(d) x=2 is necessarily a local extremum (maximum or minimum) of f.