1. Given constants a and b and function u defined by u(x, y) = ay f(x² - y²) show by substitution that 1 du x əx + 1 Ju U у ду +b, holds for any differentiable function f, if b is chosen appropriately. What is this value of b?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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1. Given constants a and b and function u defined by
u(x, y) =
ay
f(x² - y²)
show by substitution that
1 du
x əx
+
1 Ju U
у ду
+b,
holds for any differentiable function f, if b is chosen appropriately.
What is this value of b?
Transcribed Image Text:1. Given constants a and b and function u defined by u(x, y) = ay f(x² - y²) show by substitution that 1 du x əx + 1 Ju U у ду +b, holds for any differentiable function f, if b is chosen appropriately. What is this value of b?
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