Denote derivatives with respect to x by primes. (a) Using the definition of the derivative only, find f'(:15) where f(a:) : 51336:\". You may use the 1:636- formula (6:6) (5 marks) (b) Use the chain rule to show that if 9(35) is differentiable, (.9369)' : (A92 + By3)99' where A and B are constants. Find the values of A and B. (5 marks) (c) Find an expression for the second derivative of 9369 with respect to a: in terms of g, g' and If g _ (5 marks) (d) Calculate the derivative of M1") where Mm) : ecoslmgl