Problem

Cell growth When observations begin at t = 0, a cell culture has 1200 cells and continues...

Cell growth When observations begin at t = 0, a cell culture has 1200 cells and continues to grow according to the function p(t) = 1200 et, where p is the number of cells and t is measured in days.

a. Compute p′(t). What units are associated with the derivative and what does it measure?

b. On the interval [0, 4], when is the growth rate p′(t) the least? When is it the greatest?

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