Find the rate of change of f(x,y) = In(x +y+ z) – xyz in the direction from (-1,1,1) to (2,1,5) with respect to the distance measured at (-1,1,1) What is the maximum rate of increase in (-1,1,1) ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the rate of change of f(x,y) = In(x +y + z) – xyz in the direction from (-1,1,1)
to (2,1,5)
with respect to the distance measured at (-1,1,1)
. What is the maximum rate of increase
in
(-1,1,1)
?
Transcribed Image Text:Find the rate of change of f(x,y) = In(x +y + z) – xyz in the direction from (-1,1,1) to (2,1,5) with respect to the distance measured at (-1,1,1) . What is the maximum rate of increase in (-1,1,1) ?
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