In Exercises 1922, find and (a) by using the appropriate Chain Rule and (b) by

Chapter 13, Problem 19

(choose chapter or problem)

In Exercises 19–22, find \(\partial w / \partial r\) and \(\partial w / \partial \theta\) (a) by using the appropriate Chain Rule and (b) by converting w to a function of r and \(\boldsymbol{\theta}\) before differentiating.

\(w=\frac{y z}{x}, \quad x=\theta^{2}, \quad y=r+\theta, \quad z=r-\theta\)

Text Transcription:

partialwpartials

partialwpartialtheta

theta

w=fracyzx,x=theta^2,y=r+theta,z=r-theta

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