3. Find the first order and the second order direct and cross partial derivatives and verify the Young's theorem also find the critical values and extreme values. 2 2 2 Z = x₁x₂ + x₁² - X₂ + X₂ X3 + X₂₂²² + 3x3 X3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Find the first order and the second order direct and cross partial derivatives and verify the
Young's theorem also find the critical values and extreme values.
2
2
2
Z = x,x3 + x,´ - x, +x,x, + x, + 3x,
+ 3x3
Transcribed Image Text:3. Find the first order and the second order direct and cross partial derivatives and verify the Young's theorem also find the critical values and extreme values. 2 2 2 Z = x,x3 + x,´ - x, +x,x, + x, + 3x, + 3x3
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