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AP®︎/College Calculus AB

Lesson 1: Interpreting the meaning of the derivative in context

Interpreting the meaning of the derivative in context

AP.CALC: CHA‑3 (EU), CHA‑3.A (LO), CHA‑3.A.1 (EK), CHA‑3.A.2 (EK), CHA‑3.A.3 (EK)

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A tank is being filled with a liquid. The function V gives the volume of liquid in the tank, in liters, after t minutes.

What is the best interpretation for the following statement?

The value of the derivative of V at t, equals, 1 is equal to 2.

(Choice A)
After 1 minute, the tank was being filled at a rate of 2 liters.
(Choice B)
After 1 minute, the tank had 2 liters of liquid.
(Choice C)
After 1 minute, the tank was being filled at a rate of 2 liters per minute.
(Choice D)
During the first minute, the tank was being filled at a rate of 2 liters per minute.

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