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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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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.
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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