Suppose that f is a differentiable function.
(a) Find d/dx f(f(x)).
(b) Find d/dx f(f(x))).
(c) Let f|n| denote the function defined as follows: f|1| = f and f[n] = f ͦ f[n-1] for n ≤ 2. Thus f|2| = f ͦ f, f|3| = f ͦ f ͦ f. etc. Based on your results from parts (a) and (b), make a conjecture regarding d/dx f[n], Prove your conjecture.