Suppose that ƒ(x) and g(x) are two functions and we know that: ƒ(-3) = 2 g(-3) = 5 ƒ'(−3) = −1 g'(−3) = −2 Find the following: (ƒ − g)'(−3) : (g-f)'(-3) = (fg)'(-3) = (4) '(−3) If k(x)= = f(x) x² then k'(−3)

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:
f(-3) = 2
g(-3) = 5
f'(-3)
g'(-3)
Find the following: (ƒ − g)'(−3) =
(g - f)'(-3)
= -1
-2
==
(fg)'(-3) =
(4) -
'(-3) =
f(x)
x²
If k(x) =
=
=
then k'(-3)
Transcribed Image Text:Suppose that f(x) and g(x) are two functions and we know that: f(-3) = 2 g(-3) = 5 f'(-3) g'(-3) Find the following: (ƒ − g)'(−3) = (g - f)'(-3) = -1 -2 == (fg)'(-3) = (4) - '(-3) = f(x) x² If k(x) = = = then k'(-3)
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