Evaluate the derivative of the function at the given point. Use a graphing utility to verify your result three decimal places.) f'(5): = f(x) = 2 (x² - 4x)² (5, 2/25)

Calculus: Early Transcendentals
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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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Evaluate the derivative of the function at the given point. Use a graphing utility to verify your result. (
three decimal places.)
f'(5):
=
f(x)
=
2
(x² - 4x)²
(5, 2/25)
Transcribed Image Text:Evaluate the derivative of the function at the given point. Use a graphing utility to verify your result. ( three decimal places.) f'(5): = f(x) = 2 (x² - 4x)² (5, 2/25)
Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r'(1) and s'(4).
y
(a)
(b)
11
10
9
8
7
6
5
4
34
2
1
r'(1) =
s'(4) =
(2,4)
1
2
g
3 4
f
(6, 10)
5
(6,9)
6
7
8
9
10
11
X
Transcribed Image Text:Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r'(1) and s'(4). y (a) (b) 11 10 9 8 7 6 5 4 34 2 1 r'(1) = s'(4) = (2,4) 1 2 g 3 4 f (6, 10) 5 (6,9) 6 7 8 9 10 11 X
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