2. (A) If f(x) is continuous on (a,b), then there is c (a,6) such that f(c) =(B) Suppose that f(x) is continuous but not differentiable at a = 0. The function g(x) = xf(x) must be differentiable at x = 0. (C) If f(2) is a differentiablo function, then . (D) If f(x) is continuous on [a, b] and differentiable on (a,b), then there is a unique c (a,b) such that f(b)-f(a)=f(c)(b-a).