Assume is differentiable. Which of the following statements does not follow from the MVT? (a) If

Assume ƒ is differentiable. Which of the following statements does not follow from the MVT?
(a) If ƒ has a secant line of slope 0, then ƒ has a tangent line of slope 0.
(b) If ƒ (5) < ƒ(9), then ƒ'(c) > 0 for some c ∈ (5, 9).
(c) If ƒ has a tangent line of slope 0, then ƒ has a secant line of slope 0.
(d) If ƒ'(x) > 0 for all x, then every secant line has positive slope.