Answered: Olkoon |x| = (x² + x²)¹/². Määritä…

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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Question

Hi, could you help me solve this exercise. I am trying to practise for an upcoming exam by looking at old exams, and I am stuck solving this problem. So first there is given a condition, and then the function. I am having problems with the partial derivative of the given function. Could you help me solve the partial derivative for both x1 and x2 please?

1. Olkoon |x| = (x² + x²)¹/². Määritä funktion
g(x₁, x₂) = x₁x₂e|²|², x = (x1, x₂) = R²,
E
gradientti Vg, sekä ne pisteet x, joissa Vg(x) = 0.

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I would need to know what functions you use to solve this. Like without the numbers what the formulas are to solve x1 and x2, like the derivate formulas.

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