A company’s revenue (in thousands of dollars) after months satisfies for

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

Problem

A company’s revenue (in thousands of dollars)

R(t)

after

t

months satisfies

R'(t)=t^{2}-10t+21

for

0\le t\le 12

. Determine the month(s) within this interval at which the revenue reaches a local minimum, and justify your answer using the behavior of

R'(t)