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Think Break #5

Think Break #5. Give the 1 st and 2 nd derivatives f x ( x,y ), f y ( x,y ),, f xx ( x,y ), f yy ( x,y ), f xy ( x,y ) of each function: f( x,y ) = 7 + 5x + 2y – 5x 2 – 4y 2 – 11xy f( x,y ) = – 5 – 2x + y – x 2 – 3y 2 + 2xy. Think Break #5:Answer.

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Think Break #5

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  1. Think Break #5 • Give the 1st and 2ndderivatives fx(x,y), fy(x,y),, fxx(x,y), fyy(x,y), fxy(x,y) of each function: • f(x,y) = 7 + 5x + 2y – 5x2 – 4y2 – 11xy • f(x,y) = – 5 – 2x + y – x2 – 3y2 + 2xy

  2. Think Break #5:Answer • f(x,y) = 7 + 5x + 2y – 5x2 – 4y2 – 11xy • fx(x,y) = 5 – 10x – 11y • fy(x,y) = 2 – 8y – 11x • fxx(x,y) = – 10, fyy(x,y) = – 8, fyy(x,y) = – 11 • f(x,y) = – 5 – 2x + y – x2 – 3y2 + 2xy • fx(x,y) = – 2 – 2x + 2y • fy(x,y) = 1 – 6y + 2x • fxx(x,y) = – 2, fyy(x,y) = – 6, fyy(x,y) = 2

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