Find the maximum rate of change of f at the

sputneyoh 2021-12-13 Answered
Find the maximum rate of change of f at the given point and the direction in which it occurs.
f(x,y)=4yx, (4,9)
maximum rate of change =
direction vector =
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Expert Answer

Wendy Boykin
Answered 2021-12-14 Author has 35 answers
The maximum rate of change occurs with gradient vector
f=fx, fy=2yx, 4x(4,9)=2(9)4, 44=9,8
Maximum rate of change =|f|=|9,8|=92+82=145
direction f|f|=9,8145

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Annie Levasseur
Answered 2021-12-15 Author has 30 answers
this is the most thumbs up I have ever seen on a answer... I feel obligated to give one too

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