If 6x³ +x* –y³ 2x² +y² f(x, y)= if (x, y) (0, 0) if (x, y)= (0, 0) then f,(0, 0)= O does not exist

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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If
6x² +x* –y³
if (x, y) = (0, 0)
f(x, y)=
2x² + y?
if (x, y) = (0, 0)
then f,(0, 0)=
O does not exist
O -3
O -2
O 3
O 2
Transcribed Image Text:If 6x² +x* –y³ if (x, y) = (0, 0) f(x, y)= 2x² + y? if (x, y) = (0, 0) then f,(0, 0)= O does not exist O -3 O -2 O 3 O 2
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