MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
Let g(x)=x4−4x3+6x2+1 be defined on the interval [−2,3].
(i) Find the critical points of g(x) that lie in the interval.
(ii) Classify every critical point found in part (i) as a point of local maximum or local minimum.
(iii) Evaluate g(x) at all critical points and at the endpoints to decide the absolute maximum and absolute minimum values of g(x) on [−2,3].