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Partial Derivatives using Chain Rule

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Need help finding partial derivatives of attached problems.

Find three partial derivatives of the function r with respect to x, y, and z

1. r = uvw − u^2 − v^2 − w^2 where u = y + z, v = x + z,w = x + y

2. r = p / q + q / s + s / p where p = e^yz, q = e^xz, s = e^xy

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Solution Summary

Two multivariable formulas are given and partial derivatives of both are found using the chain rule.

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