The population of bacteria in one cubic centimeter of the blood of a sick person has been modeled by the function P(t) = 115 t(0.88^t) where t is the time, in days, since the person became ill.

Question

Estimate how fast the population is changing 14 days after the onset of the illness. Round your answer to two decimal places. Rate of Change

Answer 1

This is a difficult derivative.
By the product rule differentiate with respect to t

P' (t) =(115t)(.88^t)(ln .88) + (.88^t)(115)
so
P'(14) = .... you do the button pushing