NOTE- If it is true, you need to prove it and If it is false,
give a counterexample
f : [a, b] → R is continuous and in the open interval (a,b)
differentiable.
a) If f(a) ≥ f(b), then exists a ξ ∈ (a,b) with f′(ξ) ≤ 0.(TRUE
or FALSE?)
b) If f is reversable, then f −1 differentiable. (TRUE or
FALSE?)
c) If f ′ is limited, then f is lipschitz. (TRUE or FALSE?)