Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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how do i solve this chain rule question?

Use the Chain Rule to evaluate the partial derivative at the point (r, 0) = (2√2, 4)
where g(x, y) = 2x+8y² » x = r sin 0, y = r cos 0.
8g
|(r,0)=(2√2,7)
=
3
100
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Transcribed Image Text:Use the Chain Rule to evaluate the partial derivative at the point (r, 0) = (2√2, 4) where g(x, y) = 2x+8y² » x = r sin 0, y = r cos 0. 8g |(r,0)=(2√2,7) = 3 100
Expert Solution
Check Mark
Step 1

Given,

gx,y=12x+8y2,x=r cosθ,y=rsinθ

The Partial Derivative, gθ is to be found at r,θ=22,π4.

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