f(x, y) = -(x - 3)² In²(y + 5)-(5x + 3y)². a) [ Find all the first partial derivatives of the function f(x, y). b) [] Determine the point(s) where the following function is defined g(x, y) 2 -(x - 3)² In² (y + 5)-25x² 30xy - 9y². -

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 2 [
variables
Given the function of two
f(x, y) =
-(x - 3)² In²(y + 5)-(5x+3y)².
a) [
Find all the first partial derivatives of
the function f(x, y).
b) [] Determine the point(s) where the
following function is defined
g(x, y) =
√(x-3)² In²(y+5)-25x² 30xy-9y².
-
Transcribed Image Text:Question 2 [ variables Given the function of two f(x, y) = -(x - 3)² In²(y + 5)-(5x+3y)². a) [ Find all the first partial derivatives of the function f(x, y). b) [] Determine the point(s) where the following function is defined g(x, y) = √(x-3)² In²(y+5)-25x² 30xy-9y². -
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