A population of insects evolves according to a differentiable function for hours

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A population

P

of insects evolves according to a differentiable function for

t\ge 0

hours. Its rate of change is

P'(t)=t^{2}-9

. On which interval is the population increasing? (a)

(0,3)

(b)

(0,\infty)

(c)

(3,\infty)

(d)

(0,3)\cup(3,\infty)