MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
Consider the function f(x)=2sin2x−cosx on the closed interval [0,2π].
(a) Find all critical points of f(x) in the given interval.
(b) Classify each critical point obtained in part (a) as a local maximum or a local minimum.
(c) Determine the absolute maximum and absolute minimum values of f(x) on [0,2π].