Let h(x, y) = X x³ + y sin². x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is discontinuous at (0,0). (b) Evaluate hx (0,0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 32E
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Let h(x, y)
=
X
x³ + y sin².
x² + y²
0,
if (x, y) = (0,0)
if (x, y) = (0,0)
(a) Show that h is discontinuous at (0,0).
(b) Evaluate hx (0,0).
Transcribed Image Text:Let h(x, y) = X x³ + y sin². x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is discontinuous at (0,0). (b) Evaluate hx (0,0).
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