Q1J Use the Chain rule to find the derivative of w=xy + In z with re spect to v if x v/u, y u+v, z cos u.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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QI] Use the Chain rule to find the derivative of w xy + In z with respect to v
if x = v/u , y = u+v, z cos u.
Transcribed Image Text:QI] Use the Chain rule to find the derivative of w xy + In z with respect to v if x = v/u , y = u+v, z cos u.
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Step 1

The chain rule is used to calculate the derivatives of the function. The chain rule for a function f(x,y,z)=x, x(r)=t is given as ft=fxxt+fyyt+fyyt.

Calculate the derivatives of the variables in the function. Combine using the chain rule to obtain the solution.

 

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