Hi all, this is the problem that I don't know how to solve it. I think I should use the linear approximation

f(x) ~ f(a) + f'(a)(x-a)

But I'm not sure. Some hints will help me a lot. Thanks so much.

The table below shows the number of student, N, admitted by the School of BA in year t

T N(t)

2004 27

2005 102

2006 95

2007 116

2008 89

Estimate as accurately as possible the value of the derivative N’(t) in the year 2005, 2006, 2007