Create a chain of variables and use the chain rule to find the derivative First, let u = Then find du dz and dy du Finally, by the chain rule, dy dy du dz du dz Queri as a function of a so that y = as a function of u. dy dz 2 when y = In(sin(z)).
Create a chain of variables and use the chain rule to find the derivative First, let u = Then find du dz and dy du Finally, by the chain rule, dy dy du dz du dz Queri as a function of a so that y = as a function of u. dy dz 2 when y = In(sin(z)).
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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Refer to image below to solve chain rule problem

Transcribed Image Text:Create a chain of variables and use the chain rule to find the derivative
First, let u =
Then find
du
dz
and
dy
du
Finally, by the chain rule,
dy
dy du
dz
du dr
dy
dz
as a function of so that y =
as a function of u.
when y = In(sin(z)).
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