Olkoon |x| = (x² + x²)¹/². Määritä funktion g(x₁, x2) = x₁x₂e|²|², = (x1, x₂) € R², x =
Olkoon |x| = (x² + x²)¹/². Määritä funktion g(x₁, x2) = x₁x₂e|²|², = (x1, x₂) € R², x =
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd767b79f-bceb-4e58-8cb7-4a9804b54e7b%2F15b88e26-f042-4eaa-a477-1a3061f15961%2Fla9fxlh_processed.png&w=3840&q=75)
Transcribed Image Text: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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