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 o r?
b) Determine grad f(x,y) and r' (t)?
c) Determine the derivative function (f o r)' by
i) Differentiating the expression obtained in (a)?
ii) Using the Chain rule?
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