4/(A)Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction. дz əz (B)If Z = f(x, y), x= s² - t², y = 2st. Prove that s af as at 2(s² + t²) of t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4/(A) Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the
direction.
az
az
(B)If Z = f(x, y), x = s² - t², y = 2st. Prove that s
as
dt
af
2 (s² + t²) of
-
t
Transcribed Image Text:4/(A) Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction. az az (B)If Z = f(x, y), x = s² - t², y = 2st. Prove that s as dt af 2 (s² + t²) of - t
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