3. Given x(r,0) = r cos e and y(r,@) =r sin@ then use the chain rule to write (r cos 0, r sin@). 4. The maximum directional derivative of a function is given by the magnitude of the gradient vector. Then the maximum directional derivative of the function f(x, y) = x In y + x*y* at point (-1, 1) is given by A. -21 +j в. 15(-21+ ) с. 1 D. 5 E. 15

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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Question
19:42
4G
3.
Given
x(r,0) =r cos e
and
y(r,0) =r sin e
then use the chain rule to write
f(r cos e, r sin e).
The maximum directional derivative of a function is given by the magnitude of the gradient
vector. Then the maximum directional derivative of the function f(x, y) = x In y + x²y² at point
(-1, 1) is given by
A.
-21 +j
В.
15(-21 + j)
С.
1
D.
Е.
15
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Transcribed Image Text:19:42 4G 3. Given x(r,0) =r cos e and y(r,0) =r sin e then use the chain rule to write f(r cos e, r sin e). The maximum directional derivative of a function is given by the magnitude of the gradient vector. Then the maximum directional derivative of the function f(x, y) = x In y + x²y² at point (-1, 1) is given by A. -21 +j В. 15(-21 + j) С. 1 D. Е. 15 Add a caption... > Status (Custom) +
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