Let f : R2 → R be a function given by if (r. y) 7 (0,0), xy 1²+y² f(r. y) = if (r. y) = (0.0). Using definitions of partial derivatives, show whether f(r, y) is differentiable at point (0 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
icon
Related questions
Question
100%
partial derivatives
UWC Kamva : MAT 211 $1 202
Advanced Calculus Test Three.p
Answered: If {u,v,w} is linearly in
B.uwc.ac.za
s Test Three.pdf
2/ 2
175%
+
Differentiability of f(x, y) at point (a, b)
Let f: R2 R be a function given by
if (r. y) # (0,0),
XY
x² +y²
f(x, y)
0.
if (x.y)= (0.0).
Using definitions of partial derivatives, show whether f(x, y) is differentiable at
point (0,0).
ENG
US
Transcribed Image Text:UWC Kamva : MAT 211 $1 202 Advanced Calculus Test Three.p Answered: If {u,v,w} is linearly in B.uwc.ac.za s Test Three.pdf 2/ 2 175% + Differentiability of f(x, y) at point (a, b) Let f: R2 R be a function given by if (r. y) # (0,0), XY x² +y² f(x, y) 0. if (x.y)= (0.0). Using definitions of partial derivatives, show whether f(x, y) is differentiable at point (0,0). ENG US
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning