Consider on the interval

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Consider

s(x)=x^{2/3}(x-3)

on the interval

[-1,4]

. List the coordinates

(x,s(x))

of every local extremum that occurs in the open interval

(-1,4)

, and specify whether each is a local maximum or a local minimum.