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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
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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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?
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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