Let p(x)= cases x^ 3 -3x, & -1 x<2, ,4-x , , & 2 x 4

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

Problem

Let

p(x)= \begin{cases} x^{3}-3x, & -1\le x<2,\\ \sqrt{\,4-x\,}, & 2\le x\le 4. \end{cases}

Identify all

x

-values that must be examined to locate the absolute maximum of

p

[-1,4]

. List the values separated by commas.