Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results by using the partial derivatives to locate any critical points and test for relative extrema. (If an answer does not exist, enter DNE.) f(x, y) = x2 + y2 + 2x − 4y + 1 relative minimum (x, y, z) = relative maximum (x, y, z) =
Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results by using the partial derivatives to locate any critical points and test for relative extrema. (If an answer does not exist, enter DNE.) f(x, y) = x2 + y2 + 2x − 4y + 1 relative minimum (x, y, z) = relative maximum (x, y, z) =
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
Section9.3: Maxima And Minima
Problem 8E
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Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results by using the partial derivatives to locate any critical points and test for relative extrema. (If an answer does not exist, enter DNE.)
f(x, y) = x2 + y2 + 2x − 4y + 1
relative minimum | (x, y, z) | = |
(x, y, z) | = |
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