Consider the following. p(x) = f(x)g(x) 9(x) (x)/ g(x) 10 8

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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Consider the following.
p(x) = f(x)g(x)
9(x) =
g(x)
y
Find p(4).
p(4) |
10
8
6
2
Find a(8).
q(8) -
4
Op'(x) = f(x)g'(x) + f(x)g(x)
g(x]f(x) + f(x)g'(x)
op'(x) =
6
8
Ⓒ
(a) Write an equation for p'(x) in terms of f(x), g(x), f(x), and g(x).
g(x)f'(x) = f(x)g'(x)
Op'(x) =
g(x)²
*p'(x) = f'(x)g(x) + f(x)g (x)
Op'(x) = f(x)g(x)=f(x)g(x)
g(x)²
Oq'(x) = f(x)g(x) + f(x)g(x)
Oq'(x) = f(x)g(x)-f(x)g(x)
O q'(x) = f(x)g (x) + f(x)g(x)
g(x)f'(x) = f(x)g'(x)
g(x)²
O q'(x)=
8
10
Use the graph to determine the values of f(x), g(x), f(x), and g(x) when x - 4.
1(4)-
g(4) -
F(4) -
X
(b) Write an equation for q'(x) in terms of f(x), g(x), f(x), and g(x).
g(x)f'(x) + f(x)g'(x)
O q'(x)=
Use the graph to determine the values of f(x), g(x), f(x), and g(x) when x - 8.
(8) -
g(8) -
f(8) -
g'(8) -
Transcribed Image Text:Consider the following. p(x) = f(x)g(x) 9(x) = g(x) y Find p(4). p(4) | 10 8 6 2 Find a(8). q(8) - 4 Op'(x) = f(x)g'(x) + f(x)g(x) g(x]f(x) + f(x)g'(x) op'(x) = 6 8 Ⓒ (a) Write an equation for p'(x) in terms of f(x), g(x), f(x), and g(x). g(x)f'(x) = f(x)g'(x) Op'(x) = g(x)² *p'(x) = f'(x)g(x) + f(x)g (x) Op'(x) = f(x)g(x)=f(x)g(x) g(x)² Oq'(x) = f(x)g(x) + f(x)g(x) Oq'(x) = f(x)g(x)-f(x)g(x) O q'(x) = f(x)g (x) + f(x)g(x) g(x)f'(x) = f(x)g'(x) g(x)² O q'(x)= 8 10 Use the graph to determine the values of f(x), g(x), f(x), and g(x) when x - 4. 1(4)- g(4) - F(4) - X (b) Write an equation for q'(x) in terms of f(x), g(x), f(x), and g(x). g(x)f'(x) + f(x)g'(x) O q'(x)= Use the graph to determine the values of f(x), g(x), f(x), and g(x) when x - 8. (8) - g(8) - f(8) - g'(8) -
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