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)
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
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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![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F262cb116-ba9a-466e-987f-1e0b1c1eb7aa%2Ff44c7705-f727-440e-8e1e-7241ec33e7d7%2Fg1qk83q_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F262cb116-ba9a-466e-987f-1e0b1c1eb7aa%2Ff44c7705-f727-440e-8e1e-7241ec33e7d7%2Frejd8zc_processed.jpeg&w=3840&q=75)
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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