Answered: 5) (From Hardcover Book,… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 27E

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5) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 2.3., #22)
x² y ¹
(x²+6y³)
Let f (x, y) =
af
a) Show that (0, 0) and
?x
if (x, y) ‡ (0,0) and ƒ (0, 0) = 0.
af
of (0,0) exist.
ду
b) Show that f is not differentiable at (0, 0) by showing that f is not continuous at (0,0).

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