but its partial derivatives are not continuous at (0,0).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1
11.2.7. Let f(x, y) =
(x² + y²) sin
x²
if æ² + y? + 0
+ y2 '
Prove that f is differentiable
if x = y = 0.
but its partial derivatives are not continuous at (0,0).
Transcribed Image Text:1 11.2.7. Let f(x, y) = (x² + y²) sin x² if æ² + y? + 0 + y2 ' Prove that f is differentiable if x = y = 0. but its partial derivatives are not continuous at (0,0).
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