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] Consider the function p(x, y) = e=x²-y² .) Find the directional derivative of oat (3, 4) in the direction of the point (6, 7). -) Find the point(s) on the graph where the directional derivative in the direction of the ctor v =< 1,1 > is maximal.

] Consider the function p(x, y) = e=x²-y² .) Find the directional derivative of oat (3, 4) in the direction of the point (6, 7). -) Find the point(s) on the graph where the directional derivative in the direction of the ctor v =< 1,1 > is maximal.

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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3. (a) (b) Consider the function 6(x, y) = e−x²-y² .) Find the directional derivative of at (3, 4) in the direction of the point (6, 7). -) Find the point(s) on the graph where the directional derivative in the direction of the vector v =< 1, 1 > is maximal.
Transcribed Image Text:3. (a) (b) Consider the function 6(x, y) = e−x²-y² .) Find the directional derivative of at (3, 4) in the direction of the point (6, 7). -) Find the point(s) on the graph where the directional derivative in the direction of the vector v =< 1, 1 > is maximal.
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