Find a unit vector in the direction in which f(x, y) = 3 cos(x – 3y) decreases most rapidly at P( (2), an 2' 12. at P in that direction. NOTE: Enter the exact answers. u ƒ(22) 2 12. and find the rate of change of f

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 44E
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Find a unit vector in the direction in which f(x, y) = 3 cos(x − 3y)
ㅠ ㅠ
and find the rate of change of f
decreases most rapidly at P
at P in that direction.
NOTE: Enter the exact answers.
u=
ㅠ
-V(₂₁2)||=
រ
2 12.
2
Transcribed Image Text:Find a unit vector in the direction in which f(x, y) = 3 cos(x − 3y) ㅠ ㅠ and find the rate of change of f decreases most rapidly at P at P in that direction. NOTE: Enter the exact answers. u= ㅠ -V(₂₁2)||= រ 2 12. 2
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