Question 2 Given the function of two variables f(x, y) = (x - 9)² In² (y + 8)-(8x +9y)². Find all the first partial derivatives of the function f(x, y). Determine the point(s) where the following function is a) b) defined g(x, y) = −(x − 9)² In²(y + 8)−64x² − 144xy – 81y². -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 17E
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Question 2
Given the function of two variables
f(x, y) = -(x - 9)² In² (y + 8)-(8x +9y)².
Find all the first partial derivatives of the function f(x, y).
Determine the point(s) where the following function is
a)
b)
defined
g(x, y) =
√(x − 9)² In²(y + 8)−64x² − 144xy – 81y².
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Transcribed Image Text:Question 2 Given the function of two variables f(x, y) = -(x - 9)² In² (y + 8)-(8x +9y)². Find all the first partial derivatives of the function f(x, y). Determine the point(s) where the following function is a) b) defined g(x, y) = √(x − 9)² In²(y + 8)−64x² − 144xy – 81y². - -
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