Solution :
Given :

a). f(2) = T(2) = 7
, so f''(2) =

b). Yes, since f'(2) = T'(2)
0,
does have the critical point at

Since f''(2) =
< 0,
is relative maximum value.
c).

It is also not possible for determining if
has a critical point at x = 0 because
gives exact information only at

d). The Lagrange
bound


Therefore,
is negative.