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consider the following. f(x) = 2x x+2 se a computer algebra system to find the derivative of the function. Then use the utility to graph the function and its derivative on the same set of coordinate axes. 2- 0 1 2 f(x) f'(x) y 2- 0 -11 0.5 O 3³f'(x) 1.5 f(x)

consider the following. f(x) = 2x x+2 se a computer algebra system to find the derivative of the function. Then use the utility to graph the function and its derivative on the same set of coordinate axes. 2- 0 1 2 f(x) f'(x) y 2- 0 -11 0.5 O 3³f'(x) 1.5 f(x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Consider the following. 2x f(x) x + 2 Use a computer algebra system to find the derivative of the function. Then use the utility to graph the function and its derivative on the same set of coordinate axes. O y y 2- 0 --2 0 -1- 1 1 2 f(x) f(x) 2 3 3 X 4 O f' is never zero. O f approaches √2 when f' is zero. Of approaches -√2 when f' is zero. 4 5 f'(x) f'(x) 5 0 -1- Describe the behavior of the function when the derivative is zero. Of approaches to when f' is zero. O 3¹¹f'(x) 0.5 3 f'(x) 0 0.5 1 to X 2 1.5 2 X 2.5 f(x) f(x) 2.5 3
Transcribed Image Text:Consider the following. 2x f(x) x + 2 Use a computer algebra system to find the derivative of the function. Then use the utility to graph the function and its derivative on the same set of coordinate axes. O y y 2- 0 --2 0 -1- 1 1 2 f(x) f(x) 2 3 3 X 4 O f' is never zero. O f approaches √2 when f' is zero. Of approaches -√2 when f' is zero. 4 5 f'(x) f'(x) 5 0 -1- Describe the behavior of the function when the derivative is zero. Of approaches to when f' is zero. O 3¹¹f'(x) 0.5 3 f'(x) 0 0.5 1 to X 2 1.5 2 X 2.5 f(x) f(x) 2.5 3
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