### Differentiation

Please sketch a graph of a function f have the indicated characteristics. Please explain. (a) f(0) = f(2) = 0 f'(x) > 0 if x <1 f'(1) = 0 f'(x) < 0 if x > 1 f''(x) < 0 (b) f(0) = f(2) = 0 f'(x) < 0 if x < 1 f'(1) = 0 f'(x) > 0 if x > 1 f''(x)