Let f be the R 2 − R function defined by f (x, y) = ln xy and let r be the R − R 2 function defined by r (t) = ￾ e t , t
. (a) Determine the composite function f ◦ r. (Simplify your answer.) (2) (b) Determine gradf (x, y) and r 0 (t). (3) (c) Determine the derivative function (f ◦ r) 0 by (i) differentiating the expression obtained in (a), (2) (ii) using the Chain Rule (Theorem 7.6.1). (2) Compare your answers.

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