Consider the functions f(x, y) = xy, x(r, 0) = rcos(0), y(r, 0) = rsin(0). %3D (a) Compute the two partial derivatives of the composition f(x(r ,0), y(r, 0)) using the chain rule. (Hint: Your answer should only involve r and 0) (b) Compute the two derivatives of the composition f(x(r, 0), y(r, 0)) by calculating the composition and then computing the partials of the result. (Hint: Your answer should agree with part (a)).

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