The temperature (in °C) of a cup of coffee is recorded minutes after pouring

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

Problem

The temperature

T

(in °C) of a cup of coffee is recorded

t

minutes after pouring. At

t=5

, the derivative is

T'(5)=-3\;\text{°C/min}

. Interpret the meaning of this value in the context of the cooling coffee.