Find the points (x, y) and the unitary directions w = (u, v) in which the directional derivative Dwf(x, y) of the function f(x, y) = 3 x² + y² has a maximum, knowing that (x, y) is on the circle x² + y² = 1
Find the points (x, y) and the unitary directions w = (u, v) in which the directional derivative Dwf(x, y) of the function f(x, y) = 3 x² + y² has a maximum, knowing that (x, y) is on the circle x² + y² = 1
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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 25E
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Find the points (x, y) and the unitary directions w = (u, v) in which the directional derivative Dwf(x, y) of the function f(x, y) = 3 x² + y²
has a maximum, knowing that (x, y) is on the circle x² + y² = 1
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