Suppose that f(x) and g(x) are two functions and we know that: ƒ( − 3) = 0 g( − 3) = 2 ƒ'( − 3) g'( − 3) = 2 Find the following: (ƒ − g)'( − 3) = (g − ƒ)'( − 3) = −3 - (fg)'(-3) = -2 f 1) (-3) 9 If k(x) - 1 = f(x) x² - 1 2 then k’( − 3) : = 13 -3 X X

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose that f(x) and g(x) are two functions and we know that:
ƒ( − 3) = 0
g(− 3) = 2
ƒ'( − 3)
g'( − 3) = 2
Find the following: (ƒ − g)'( − 3)
=
(g – f)'( − 3) = −3
(fg)'(-3) = -2
f
1) (-3)
9
If k(x)
=
- 1
f(x)
x²
-
1
2
then k’( − 3) :
=
13
-3
X
X
Transcribed Image Text:Suppose that f(x) and g(x) are two functions and we know that: ƒ( − 3) = 0 g(− 3) = 2 ƒ'( − 3) g'( − 3) = 2 Find the following: (ƒ − g)'( − 3) = (g – f)'( − 3) = −3 (fg)'(-3) = -2 f 1) (-3) 9 If k(x) = - 1 f(x) x² - 1 2 then k’( − 3) : = 13 -3 X X
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