a) Suppose that a function f satisfies the property thatf(x)x2 for all x. Show that f(0) = f' (0)= 0.

b)Determine whether or not the following functions are differentiable at x = 0. Fully justify your answer.

your answer. x- sin (i) g(x) = r sin (ii) h(x) x # 0 0 x = 0