APFIVE Derivative of an Exponential Growth Model
What is the derivative, $$P'(t)$$, of the exponential population growth function $$P(t)=1000\,e^{0.05*t}$$?
A
$$P'(t)=1000*0.05*e^{0.05*t}$$
B
$$P'(t)=e^{0.05*t}$$
C
$$P'(t)=0.05*e^{0.05*t}$$
D
$$P'(t)=1000\,e^{0.05*t}$$
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