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Consider the following. f(x, y) = xy - 3x³y² Find the first partial derivatives. 2,2 fx(x, y) = 6x³y — 9x²₁,² fy(x, y) = x6 – 6x³y Find all the second partial derivatives. fxx(x, y) = fxy(x, y) = fyx(x, y) = fyy(x, y) =

Consider the following. f(x, y) = xy - 3x³y² Find the first partial derivatives. 2,2 fx(x, y) = 6x³y — 9x²₁,² fy(x, y) = x6 – 6x³y Find all the second partial derivatives. fxx(x, y) = fxy(x, y) = fyx(x, y) = fyy(x, y) =

Calculus For The Life Sciences
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 20E
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Consider the following. f(x, y) = xy - 3x³y² Find the first partial derivatives. fx(x, y) = 6x³y – 9x²1,² 6 fy(x, y) = x² - 6x³y X Find all the second partial derivatives. fxx(x, y) = fxy(x, y) = fyx(x, y) = fyy(x, y) =
Transcribed Image Text:Consider the following. f(x, y) = xy - 3x³y² Find the first partial derivatives. fx(x, y) = 6x³y – 9x²1,² 6 fy(x, y) = x² - 6x³y X Find all the second partial derivatives. fxx(x, y) = fxy(x, y) = fyx(x, y) = fyy(x, y) =
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