Example 5.69 Finding the Jacobian Find the Jacobian of the Transformation 2 Tluxx) = (u²-x², uy) where x=17-1² and Thus the Jacobian J(xy) Jlui") - Kur Пир = 11 uy. 2x of du Su **** dv = 1) 24 V = 20+242 -24 и Calculus III May I please have an explanation of the example and the order in the determina nts? Also, can I get identification of the multivariable chain rule for -2v in calculat on?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 68E
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Calculus lll 

May I please have an explanation of the multivariable chain rule in the example given? 

Thank you 

Example 5.69
Finding the Jacobian
Find the Jacobian of the Transformation
2
Tluxx) = (u²-x², uy) where x=17-1² and
Thus the Jacobian
J(xy)
Jlui") - Kur
Пир
=
11
uy.
2x of
du
Su
****
dv
=
1)
24
V
=
20+242
-24
и
Calculus III
May I please have an explanation of the
example and the order in the determina
nts? Also, can I get identification of the
multivariable chain rule for -2v in calculat
on?
Transcribed Image Text:Example 5.69 Finding the Jacobian Find the Jacobian of the Transformation 2 Tluxx) = (u²-x², uy) where x=17-1² and Thus the Jacobian J(xy) Jlui") - Kur Пир = 11 uy. 2x of du Su **** dv = 1) 24 V = 20+242 -24 и Calculus III May I please have an explanation of the example and the order in the determina nts? Also, can I get identification of the multivariable chain rule for -2v in calculat on?
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