Question

. If f is continuous for a < x < b and differentiable for a < x < b, which
of the following could be false?

A)for some c such that a < c < b.
B)f’(c) = 0 for some c such that a < c < b.
C)f has a minimum value on a < x < b.
D)f has a maximum value on a < x < b.

Answer 1

well, as stated, they all could be false, except A) which doesn't actually claim anything...

Answer 2

So my answer would have to be A?