Problem 9 Use the chain rule and write expressions for the derivatives, f (ac), of the tollowing functions. a. f(u)=u2+4;u52:z: 1 (i) b. m) = (10 + 3:13) 4 c. f(:':) = 54$+1 d. f(m) = 111(m2 + 3.5m + 3)\"5 (20 points) Problem 4 (25 points) 5 Use the definition of the first derivative to find the derivative of the function, f(zc) = 4w2 + 32: + 9. . . . . Af . . . a. Write an expression for the difference quotient, Am' Use mo and 3:1 as the starting and ending paints. b. Write the first derivative arrived at using calculus. c. Evaluate the difference in f when 3:0 = 6 and Am = 1. d. Evaluate the first derivative at $0 = 6. The answer to part d is an approximation of the answer to 0, based on the differential, d f = f' ($)- dz. \" 330 e. Consider the additional precision provided by the "Taylor Series": Af = f, (:30)- Am I L - (Am)? 2 Compute the Taylor Series approximation to A f for m0 = 6