Question

***I heard something about derivatives but im not sure what that is or how to apply it*****

The rabbit population on a small island is observed to be given by the function P(t) = 130t-0.4t^4 +1050 where t is the time (in months) since observations of the island began.
(a) When is the maximum population attained (Round your answer to one decimal place.)

(b) What is that maximum population? Please give the answer to the nearest whole

(c) When does the rabbit population disappear from the island? Please give the answer to two decimal places