The temperature (in ) of a chemical reaction satisfies for

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

Problem

The temperature

T

(in

^{\circ}\!\mathrm{C}

) of a chemical reaction satisfies

T'(t)>0

for

0<t<4

T'(4)=0

, and

T'(t)<0

for

t>4

, where

t

is measured in minutes. Which of the following best describes the behavior of the temperature? (a) The temperature decreases for

0<t<4

and increases for

t>4

. (b) The temperature increases for all

t>0

. (c) The temperature increases for

0<t<4

and decreases for

t>4

. (d) The temperature increases for

0<t<4

and remains constant for

t>4