Change of variables əz If z = exy where x = In(u + v) and y = sin(u - v), find oz and z ди Solution дz дz dx ду ду and дх' ду' ди'дv' ди ду Step 1: Find all partial derivatives Step 2: Use change of variable formula дz дz дх , дz ду + ди дх ди ду ди дz dz dx , дz ду and === + дvах дь ду дv Step 3: Plug in the function/values in the formula

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Week 2 PartialDiff.pdf
Page 15 of 23
14
15
16
2000-
17
18
2.048
Change of variables
дz
If z = exy where x = In(u+v) and y = sin(u-v), find and
ди
Solution
Step 1: Find all partial derivatives
Step 2: Use change of variable formula
dz_dz dx дz ду
ди дх ди
+
ду ди
Vodafone AU
дz дz dx дz ду
+
дv ах дvду v
Step 3: Plug in the function/values in the formula
NOV
со
25 10/23
tv
and
в evi
дz дz Әх дх
?х'ду' ди'ду'ди
NA
X
W
and
Q Search
ay
818
əz
******
Fri 3 Nov 1
Transcribed Image Text:Preview File Edit View Go Tools Window Help Week 2 PartialDiff.pdf Page 15 of 23 14 15 16 2000- 17 18 2.048 Change of variables дz If z = exy where x = In(u+v) and y = sin(u-v), find and ди Solution Step 1: Find all partial derivatives Step 2: Use change of variable formula dz_dz dx дz ду ди дх ди + ду ди Vodafone AU дz дz dx дz ду + дv ах дvду v Step 3: Plug in the function/values in the formula NOV со 25 10/23 tv and в evi дz дz Әх дх ?х'ду' ди'ду'ди NA X W and Q Search ay 818 əz ****** Fri 3 Nov 1
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