The registrar of a certain university estimates that the total student enrollment in the Continuing Education division will be given by

N(t) =(25,000(square root of 1+.4t)) +27,000

whereN(t) denotes the number of students enrolled in the divisiontyears from now. Find an expression forN'(t).

N'(t) =

How fast is the student enrollment increasing currently?

______students/yr

How fast will it be increasing6yearsfrom now? (Round your answer to the nearest integer.)

_____students/yr