A thermometer records the air temperature (in °C) as a differentiable function of…

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A thermometer records the air temperature

T

(in °C) as a differentiable function of time

t

(in minutes). At

t=15

, the value of the derivative is

T'(15)=-0.40

. Explain what this derivative indicates about how the temperature is changing at

t=15

minutes.