- 24. h(x, y, z) = ln (x² + y² − 1) + y + 6z, P(1, 1, 0)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Number 24 please
Transcribed Image Text:2,1)
In Exercises 19-24, find the directions in which the functions increase
and decrease most rapidly at Po. Then find the derivatives of the func
tions in these directions.
19. f(x, y) = x² + xy + y²,
20. f(x, y) = x²y + ey sin y,
21. f(x, y, z) = (x/y) - yz,
22. g(x, y, z) =
xe + z²,
Po(-1, 1)
Po(1, 0)
Po(4, 1, 1)
Po(1, In 2, 1/2)
23. f(x, y, z) =
ln xy + ln yz + ln xz, Po(1, 1, 1)
24. h(x, y, z) = ln (x² + y² - 1) + y + 6z, Po(1, 1, 0)
Expert Solution
Step 1
The given function .
We have to find the direction in which the function increases and decreases most rapidly at .
And also find the derivatives of the function in that direction.
Step by step
Solved in 4 steps
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