əz Ət = əz əx əx ət + əz Əy ду дt Let function g (x,y) = 3x + y ln y sin (1 − x) Assume z as function differentiable at x and y defined implicitly by Z E : zy + y = g(x,y) - 2 If additionally, x and y are said to be functions of r and t represented by-rte = x and e = y, use chain rule (multivariate) to r + 2t дz evaluate when r = -1 and t =1. at

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Əz
Ət
=
əz əx
dx Ət
+
дz ду
ду де
Let function g (x,y) = 3x + y ln y
sin (1 − x)
Assume z as function differentiable at x and y defined implicitly by
Ez y + y
у
= g(x,y) - 2
Z
If additionally, x and y are said to be functions of r and t represented
by-r te = x and e = y, use chain rule (multivariate) to
r + 2t
evaluate
дz
at
when r = -1 and t =1.
Transcribed Image Text:Əz Ət = əz əx dx Ət + дz ду ду де Let function g (x,y) = 3x + y ln y sin (1 − x) Assume z as function differentiable at x and y defined implicitly by Ez y + y у = g(x,y) - 2 Z If additionally, x and y are said to be functions of r and t represented by-r te = x and e = y, use chain rule (multivariate) to r + 2t evaluate дz at when r = -1 and t =1.
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