2. Show that fxy and fyx are equal for the function f(x, y) = x²y sin(x + y). %3D xy. cos(xry) + 2xy sin (xry) (x+y) y= x'g cos (xry) + x² sir COS %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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I was supposed to use the product rule because there is a x and y in both f(x) and g(x), right? Thanks! Does this make sense?
2. Show that fy and fyx are equal for the function f(x, y) = x²y sin(x + y).
fy xy. cos(xny) + 2xy sin (xry) g cs(249) + 2* sin(xry)
2xy 0s (x14) # x². cos(x+g) + 2x
sin (xay)
1 SAME
Transcribed Image Text:2. Show that fy and fyx are equal for the function f(x, y) = x²y sin(x + y). fy xy. cos(xny) + 2xy sin (xry) g cs(249) + 2* sin(xry) 2xy 0s (x14) # x². cos(x+g) + 2x sin (xay) 1 SAME
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