A company’s profit in thousands of dollars

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

P(t)

, where

t

is the number of months after a product launch, satisfies

P'(t)=t^{2}-4t

for

0\le t\le6

. Determine the interval(s) on

0\le t\le6

during which the profit is increasing.