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7. Information about the functions f and g, and their derivatives f' and g', is given in the following tables: x | f(x)| f'(x) x g(x) | g'(x) 4 -1 1 -1/2 1/2 3/2 1 2 2 3 1/2 4 -1 -1/2 4 -2 3 4 4 3 Use this information and derivative rules & definitions to evaluate the following quantities: f(x) – f(3) (a) (f/g)(3) (b) ( f(g(x)) )' when a = 1 (c) lim х — 3

7. Information about the functions f and g, and their derivatives f' and g', is given in the following tables: x | f(x)| f'(x) x g(x) | g'(x) 4 -1 1 -1/2 1/2 3/2 1 2 2 3 1/2 4 -1 -1/2 4 -2 3 4 4 3 Use this information and derivative rules & definitions to evaluate the following quantities: f(x) – f(3) (a) (f/g)(3) (b) ( f(g(x)) )' when a = 1 (c) lim х — 3

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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
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Information about the functions f and g,and theirs derivates f' and g', is given in the following tables.

Use the information and derivative rules and definitions to evaluate the following quantities. (Please give a detailed explanation)

7. Information about the functions f and g, and their derivatives f' and g', is given in the following tables: x f(x)| f'(x) 4 x g(x) | g'(x) 1 -1 2 -1/2 1/2 3/2 1/2 4 1 3 1 3 -1 3 4 -1/2 4 3 4 -2 Use this information and derivative rules & definitions to evaluate the following quantities: f(x) – f(3) (a) (f/g)'(3) (b) ( f(g(x)) )' when x = 1 (с) lim x→3 х — 3 (d) ( xg(3x+1) )' when x = (e) ( -9+ f²(2x) 1 when x = 2 ( and f²(2x) = f(2x)f(2x))
Transcribed Image Text:7. Information about the functions f and g, and their derivatives f' and g', is given in the following tables: x f(x)| f'(x) 4 x g(x) | g'(x) 1 -1 2 -1/2 1/2 3/2 1/2 4 1 3 1 3 -1 3 4 -1/2 4 3 4 -2 Use this information and derivative rules & definitions to evaluate the following quantities: f(x) – f(3) (a) (f/g)'(3) (b) ( f(g(x)) )' when x = 1 (с) lim x→3 х — 3 (d) ( xg(3x+1) )' when x = (e) ( -9+ f²(2x) 1 when x = 2 ( and f²(2x) = f(2x)f(2x))
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