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    An example using the chain rule

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    Let f: R^3 --> R^2 by given by

    f((x,y,z)) = (x^2 + y^2*z^2 + y*z^2)

    and let g: R^2 --> R^2 be given by

    g((u,v)) = (log(1 + u^2v^2), u^3v)

    Use the Chain Rule to compute (g o f)' at (1,0,1)

    © BrainMass Inc. brainmass.com June 2, 2020, 1:31 am ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/example-using-chain-rule-602259

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    Solution Summary

    This solution uses the chain rule to calculate the partial derivatives of the composition of two functions of several variables.

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