Derivative of an Exponential Population Function

Question

Which of the following expressions represents the instantaneous rate of change (derivative) for the exponential population function $$P(t)=500\,e^{0.03*t}$$?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Derivative of an Exponential Population Function

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