Suppose f is a differentiable function of x and y, and g(r, s) = f(2rs, s² - 6r). Use the table of values below to calculate g,(8, 3) and g(8,3). fx fy 2 8 5 1 gr(8, 3) = 9, (8, 3) = (13, -39) (8,3) f g 3 7 7 3

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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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Suppose f is a differentiable function of x and y, and g(r, s) = f(2r – s, s² – 6r). Use the table of values below to calculate g, (8, 3) and 95(8,3).
fx
fy
2
8
5
1
9,(8, 3) =
95(8, 3) =
(13, -39)
(8,3)
f
3
7
7 3
9
Transcribed Image Text:Suppose f is a differentiable function of x and y, and g(r, s) = f(2r – s, s² – 6r). Use the table of values below to calculate g, (8, 3) and 95(8,3). fx fy 2 8 5 1 9,(8, 3) = 95(8, 3) = (13, -39) (8,3) f 3 7 7 3 9
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