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AP Environmental Science/Unit 3: Populations
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Derivative of an Exponential Population Function
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Which of the following expressions represents the instantaneous rate of change (derivative) for the exponential population function $$P(t)=500\,e^{0.03*t}$$?

A

$$P'(t)=500\,e^{0.03*t}$$

B

$$P'(t)=0.03*e^{0.03*t}$$

C

$$P'(t)=500*0.03*e^{0.03*t}$$

D

$$P'(t)=\frac{e^{0.03*t}}{500}$$

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