Consider the function and the unit vector Does the directional derivative of at P(0, 0) in
Question:
Consider the function
and the unit vector
Does the directional derivative of ƒ at P(0, 0) in the direction of
u exist? If ƒ(0, 0) were defined as 2 instead of 0, would the
directional derivative exist?
Transcribed Image Text:
f(x, y) 4xy x² + y²² 0, (x, y) = (0, 0) (x, y) = (0, 0)
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We cannot use Theorem because f is not a differentiable function ofx and y ...View the full answer
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