In Exercises 1922, find and (a) by using the appropriate Chain Rule and (b) by
Chapter 13, Problem 21(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.
\(w=\arctan \frac{y}{x}, \quad x=r \cos \theta, \quad y=r \sin \theta\)
Text Transcription:
partialwpartials
partialwpartialtheta
theta
w=arctanfracyx,x=rcostheta,y=rsintheta
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