((x+1)ª-y² Consider the function g(x, y) = {(x+1)4+y²' -1, if (x, y) # (-1,0) if (x, y) = (-1,0) Prove that g is not differentiable at (-1,0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Prove that the given function is not differentiable at (-1,0).

((x+1)4-y²
Consider the function g(x, y) = {(x+1)++y²’
-1,
if (x, y) + (-1,0)
if (x, y) = (-1,0)
Prove that g is not differentiable at (-1,0).
Transcribed Image Text:((x+1)4-y² Consider the function g(x, y) = {(x+1)++y²’ -1, if (x, y) + (-1,0) if (x, y) = (-1,0) Prove that g is not differentiable at (-1,0).
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