. Let n 2 3 be an odd number and f(a, y) = (x" + y")'/n. (a) Determine if f(x, y) is differentiable at (0,0). (b) Find all the points where f(x, y) is not differentiable. Justify your answer. (c) Find the unit vector(s) ũ € R² such that the directional derivative Daf(0,0) is minimum. (d) Compute or show that it does not exist. Əxðy

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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B. Let n > 3 be an odd number and f(a, y) = (x" + y")/".
(a) Determine if f(x, y) is differentiable at (0,0).
(b) Find all the points where f(a,y) is not differentiable. Justify your answer,
(c) Find the unit vector(s) i € R? such that the directional derivative Daf(0,0) is minimum.
(d) Compute
or show that it does not exist.
Əxðy
Transcribed Image Text:B. Let n > 3 be an odd number and f(a, y) = (x" + y")/". (a) Determine if f(x, y) is differentiable at (0,0). (b) Find all the points where f(a,y) is not differentiable. Justify your answer, (c) Find the unit vector(s) i € R? such that the directional derivative Daf(0,0) is minimum. (d) Compute or show that it does not exist. Əxðy
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