Suppose that f (:6) is a function satisfying the dierential equation f'(.'r) = a f (m) (a) What is the derivative of x) ? Why? 6031' (b) Use the corollary to the Mean Value Theorem (Theorem 5 in the Stewart text) to show that f (1:) : 66'\": for some constant c. That is, the only solutions to the differential equation f'(3:) = f (3:) are those of the form f(:C) = as\