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For these problems, you are given a function f of multiple variables, and each of these variables is written as a function of more variables;

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For these problems, you are given a function f of multiple variables, and each of these variables is written as a function of more variables; your goal is to compute the partial derivatives of f with respect to these 'secondary' variables, using the partial derivative formulation of the chain rule. 9. Let f(u, v) = u4 + 14 - 2uv, and suppose u=x2-y'+22, v = xyz. a Compute the partial derivatives fx, fy, and fz at (Xo, yo, Zo) = (1, 1, 1) using the partial derivative formulation of the chain rule. b) If g(x, y, z) = (x2 - y2 + 22, xyz), and h(x, y, z) = f(g(x, y, z)), compute the differential dh(1,1,1). c) Compare your answers, and explain how and why the computations in (a) and (b) above are related

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