The derivative represents the rate of change of air temperature

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The derivative

g'(t)

represents the rate of change of air temperature, and its units are degrees Celsius per hour (

{}^{\circ}\!C/\text{hr}

). Which of the following units is most plausible for the temperature function

g(t)

? (a)

{}^{\circ}\!C/\text{hr}^{2}

(b)

{}^{\circ}\!C\cdot\text{hr}

(c)

{}^{\circ}\!C

(d)

\text{hr}/{}^{\circ}\!C