Find dz/dy of z=arctan (x/y)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find dz/dy of z=arctan (x/y)

Given: z = arctan( ÷)
dz
Find:
ду
y
%3D
ду
x²+y²
dz
2x
ду
x²+y²
-x
ду
x²+y²
2y
ду
x²+y²
II
II
Transcribed Image Text:Given: z = arctan( ÷) dz Find: ду y %3D ду x²+y² dz 2x ду x²+y² -x ду x²+y² 2y ду x²+y² II II
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