Find the minimum and maximum

Question

A drug response curve describes the level of medication in the bloodstream after a drug is administered. A surge function 

S(t) = At^pe^−kt

 (where t > 0) is often used to model the response curve, reflecting an initial surge in the drug level and then a more gradual decline. If, for a particular drug, A = 0.03, p = 4, k = 0.03, and t is measured in minutes, estimate the times t corresponding to the inflection points. 

I tried to solve it, but my answers didn't come out right and neither did my graph 

Answer 1

me suspekt  t^4...very strong up kerv as t get big

take daes for e-kt tu overpower it

me suspekt that fakter oenlee appli for short time

yu shood drop it if time > perhaps 2 ours