Does anyone know how to do this without graphing:

The rabbit population of a small island is given by the function below, where t is the time in months since observation of the rabbit population began.

P(t)=110t=0.4t^4+1000

What is the maximum population? Round answer to the nearest whole number. _____rabbits

Question

Does anyone know how to do this without graphing:

The rabbit population of a small island is given by the function below, where t is the time in months since observation of the rabbit population began.

P(t)=110t=0.4t^4+1000

What is the maximum population? Round answer to the nearest whole number. _____rabbits

anonymous · Answer

By rule of thumb, you should take the derivative of the given equation, set it to zero, and solve.