Use the Chain Rule to find the indicated partial derivatives. u² +v² + w², u = xey, v = yex, w = exy; ӘР ӘР when x = 0, y = 3 ах ду ӘР дх ӘР ду || = =

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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Use the Chain Rule to find the indicated partial derivatives.

P = 
  u2 + v2 + w2
,    u = xey,    v = yex,    w = exy;
 
∂P
∂x
∂P
∂y
    when x = 0, y = 3
∂P
∂x
 = 
 
 
 
∂P
∂y
 = 
 
 
 
Use the Chain Rule to find the indicated partial derivatives.
u² +v² + w², u = xey, v = yex,
w = exy;
ӘР
when x = 0, y = 3
ду
ӘР
дх
ӘР
ду
=
=
P =
ӘР
ах
Т
Transcribed Image Text:Use the Chain Rule to find the indicated partial derivatives. u² +v² + w², u = xey, v = yex, w = exy; ӘР when x = 0, y = 3 ду ӘР дх ӘР ду = = P = ӘР ах Т
Expert Solution
Step 1

The given function is 

P=u2+v2+w2, u=xey, v=yex, w=exy.

We have to find partial derivatives at x=0, y=3musing the chain rule.

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