xy6 x + 0, x* + ys' f(0) = 0. %3D (a) Find all the directional derivatives of f at 0. (b) Is f continuous at 0? (c) Te f differentioblo ot 0?
xy6 x + 0, x* + ys' f(0) = 0. %3D (a) Find all the directional derivatives of f at 0. (b) Is f continuous at 0? (c) Te f differentioblo ot 0?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:18. Let
()-
хуб
x4 + y8 '
x+ 0,
f(0) = 0.
%3D
(a) Find all the directional derivatives of f at 0.
(b) Is f continuous at 0?
(c) Is f differentiable at 0?
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