Suppose f is a differentiable function of x and y, and g(r, s) = f(6rs, s² 7r). Use the table of values below to calculate g,(1, 3) and 9s(1, 3). f g fx fy (3,2) 4 2 7 3 (1, 3) 2 4 6 8 9,(1, 3) = gs(1, 3) =

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
Section4.4: Derivatives Of Exponential Functions
Problem 27E: Find derivatives of the functions defined as follows. y=34x2+2
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Suppose f is a differentiable function of 'x and y, and g(r, s) = f(6rs, s² 7r). Use the table of values below to calculate g,(1, 3) and gs(1, 3).
gr(1, 3):
9s(1, 3):
=
f
g
fx
fy
(3,2)
4
2
7
3
(1, 3)
2
4
6
8
Transcribed Image Text:Suppose f is a differentiable function of 'x and y, and g(r, s) = f(6rs, s² 7r). Use the table of values below to calculate g,(1, 3) and gs(1, 3). gr(1, 3): 9s(1, 3): = f g fx fy (3,2) 4 2 7 3 (1, 3) 2 4 6 8
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