In each case, make sure you justify clearly, using words, specific counterexamples, and /or graphs. In all cases, f represents a function and a, b, c, represent finite values. (a) If f(x) is defined on (a, b) and f(c) = 0 at some point c E (a, b), then f'(c) = 0. (b) If f (ac ) = 3. + 2 if x 0 then f'(0) = 3. (c) If f'(x)