Derivative as an Instantaneous Rate of Change
Without using a calculator, determine which equation correctly represents the derivative (instantaneous rate of change) of the function $$V(t)= 1000 - 50*t^2$$, modeling the volume of water (in liters) in a draining tank with respect to time $$t$$ (in minutes).
A
$$V'(t)= -100*t$$
B
$$V'(t)= -t$$
C
$$V'(t)= -100*t^2$$
D
$$V'(t)= -50*t$$
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