Continuing Education Enrollment 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+0.1t) +27,000
where N(t) denotes the number of students enrolled in the division t years from now.
(a)Find an expression for N'(t).
(b) How fast will the student enrolment be increasing 1 year from now? (Round your answer to the nearest integer)
(C) How fast will it be increasing 6 years from now? (Round your answer to the nearest integer).