assume that f is continuous and differentiable on (-inf, inf). Consider the interval (alb) where a

if you believe it is true, justify, if you believe it is false show an example.

(a) there is a number c in the interval (a,b) such that f(c) is the absolute minimum of f on (alb).

(b) there is a number c in the interval (a,b) such that f'(c) = 0

(c) if f(b) <7

(d) if (a) =7 and f(b) =0, then there exists a number c in the interval (a,b) such that f'(c)