A graphing calculator is recommended. Let f(x) = x/5 - x². (a) Find f'(x). f'(x) = (b) Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f'. -2 -1 -2 -1 2 -2 -1 -2 -4 -4
A graphing calculator is recommended. Let f(x) = x/5 - x². (a) Find f'(x). f'(x) = (b) Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f'. -2 -1 -2 -1 2 -2 -1 -2 -4 -4
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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Question
![A graphing calculator is recommended.
Let f(x) = x/5 – x².
(a) Find f'(x).
f'(x) =
(b) Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f'.
y
y
y
2
2
f
X
X
X
-2
-1
-2
-1
1
2
-2
-1
1
2
-2
f
-2
-2
f
-4
-4
-4
y
2
-2
1
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2ad75bc-e165-4fde-b3c5-24653f36bf85%2F5e59d55a-4d4f-47d7-aae7-644c4ab81622%2Fzt7eqvq_processed.png&w=3840&q=75)
Transcribed Image Text:A graphing calculator is recommended.
Let f(x) = x/5 – x².
(a) Find f'(x).
f'(x) =
(b) Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f'.
y
y
y
2
2
f
X
X
X
-2
-1
-2
-1
1
2
-2
-1
1
2
-2
f
-2
-2
f
-4
-4
-4
y
2
-2
1
2.
![y
2
-2
-1
2
-2
-4
Explain the relationship between the two graphs.
f' = 0 when f has a
O tangent line, f' is negative when f is
and f' is positive when f v ---Select---
---Select---
---Select---
increasing
decreasing
horizontal
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Transcribed Image Text:y
2
-2
-1
2
-2
-4
Explain the relationship between the two graphs.
f' = 0 when f has a
O tangent line, f' is negative when f is
and f' is positive when f v ---Select---
---Select---
---Select---
increasing
decreasing
horizontal
Need Help?
Read It
Watch It
vertical
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