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Let g(u, v) = (eu, u + sinv) and f(x, y, z) = (xy, yz). Compute D(g f) at (0, 1, 0) (a) by using

Let g(u, v) = (eu, u + sinv) and f(x, y, z) = (xy, yz). Compute D(g f) at (0, 1, 0) (a) by

using the chain rule; (b) by a direct calculation using an explicit form of the function g f.

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