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AP Environmental Science/Unit 3: Populations
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Derivative of an Exponential Growth Model

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What is the derivative, P′(t)P'(t), of the exponential population growth function P(t)=1000 e0.05∗tP(t)=1000\,e^{0.05*t}?

A

P′(t)=0.05∗e0.05∗tP'(t)=0.05*e^{0.05*t}

B

P′(t)=1000 e0.05∗tP'(t)=1000\,e^{0.05*t}

C

P′(t)=e0.05∗tP'(t)=e^{0.05*t}

D

P′(t)=1000∗0.05∗e0.05∗tP'(t)=1000*0.05*e^{0.05*t}

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