18. Let ()- xy6 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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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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