Consider the function on the interval

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

Problem

Consider the function

p(x)=x^{3}-6x^{2}+9x

on the interval

0\le x\le4

. Identify the

x

-value within this interval at which the tangent-line approximation to

p

changes from producing overestimates to producing underestimates.