MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem
A population grows according to P(t)=P0e0.02t, where t is measured in years. Which statement correctly compares the instantaneous growth rates at t=10 years and t=20 years?
(a) P′(20) equals P′(10).
(b) P′(20) is approximately 0.82 times P′(10).
(c) P′(20) is approximately 1.22 times P′(10).
(d) P′(20) is exactly twice P′(10).