af af af (a) Calculate the primary derivatives Эх' ду" дг (b) Calculate Әх ду дг as' дs' дs (c) Compute af using the Chain Rule: as дy дх дs Express the answer in terms of the independent variables s,1. af af ax дs af az ду дs дz дя

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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Let f(x,y, z) = x 2y3 + z4 and x = s2, y = st2 , and z = s2t.

af af af
(a) Calculate the primary derivatives
Эх' ду" дг
(b) Calculate
Әх ду дг
as' дs' дs
(c) Compute
af
using the Chain Rule:
as дy
дх дs
Express the answer in terms of the independent variables s,1.
af af ax
дs
af az
ду дs
дz дя
Transcribed Image Text:af af af (a) Calculate the primary derivatives Эх' ду" дг (b) Calculate Әх ду дг as' дs' дs (c) Compute af using the Chain Rule: as дy дх дs Express the answer in terms of the independent variables s,1. af af ax дs af az ду дs дz дя
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