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Derivative as an Instantaneous Rate of Change

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The volume of water in a tank, in liters, is modeled by the function V(t)=1000−50∗t2V(t) = 1000 - 50*t^2, where tt is the time in minutes. Which of the following is the derivative of V(t)V(t)?

A

V′(t)=−50∗tV'(t)= -50*t

B

V′(t)=−tV'(t)= -t

C

V′(t)=−100∗tV'(t)= -100*t

D

V′(t)=−100∗t2V'(t)= -100*t^2

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