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Consider the function [cos: cos 30 Sin 30 x² x₁x₂-1 f(x)=x₂+- Determine the directional derivatives in the following directions: [√3/12) (√212₁ ‚ at x* = { √212 " = [²] =R* x₂ 1/2 √312 fess 65 5.960 ~cos 45 [45] sin 45 and compare with the directional derivative in the direction of the gradient at x'.

Consider the function [cos: cos 30 Sin 30 x² x₁x₂-1 f(x)=x₂+- Determine the directional derivatives in the following directions: [√3/12) (√212₁ ‚ at x* = { √212 " = [²] =R* x₂ 1/2 √312 fess 65 5.960 ~cos 45 [45] sin 45 and compare with the directional derivative in the direction of the gradient at x'.

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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Problem #2 Consider the function fx) =x,+- Determine the directional derivatives in the following directions: 1/2 at x* = 1/2 Cos 30 faos6 Sin 30 S.n 60 sin 45 and compare with the directional derivative in the direction of the gradient at x*.
Transcribed Image Text:Problem #2 Consider the function fx) =x,+- Determine the directional derivatives in the following directions: 1/2 at x* = 1/2 Cos 30 faos6 Sin 30 S.n 60 sin 45 and compare with the directional derivative in the direction of the gradient at x*.
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