A population changes according to

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

P(t)=2000e^{0.03t}

, where

P

is the number of individuals and

t

is the time in years. Determine the instantaneous rate of growth at

t=10\text{ years}

and state the units of your answer.