Suppose f is a differentiable function of x and y, and g(r, s) = f(2r - s, s² - 7r). Use the table of values below to calculate gr(7, 6) and gs(7, 6). gr(7,6) 9s(7,6) = = f g fx fy (8, -13) (7, 6) 2 5 3 8 5 2 4 7

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.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 4E: Find the derivative of each function defined as follows. y=5x4+9x3+12x2-7x
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Suppose f is a differentiable function of x and y, and g(r, s) = f(2r - s, s² - 7r). Use the table of values below to calculate
gr(7, 6) and gs(7, 6).
gr(7,6)
9s(7,6)
=
=
f
g
fx
fy
(8, -13)
(7, 6)
2
5
3
8
5
2
4
7
Transcribed Image Text:Suppose f is a differentiable function of x and y, and g(r, s) = f(2r - s, s² - 7r). Use the table of values below to calculate gr(7, 6) and gs(7, 6). gr(7,6) 9s(7,6) = = f g fx fy (8, -13) (7, 6) 2 5 3 8 5 2 4 7
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