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4) Now verify your answer in problem 3 by sketching the graph of f(x) and briefly explain how you know whether your answer in problem 3 is correct or not. (You should know what the graph of f looks like but if you've forgotten, then go ahead and use Desmos or another graphing utility to help you.)

4) Now verify your answer in problem 3 by sketching the graph of f(x) and briefly explain how you know whether your answer in problem 3 is correct or not. (You should know what the graph of f looks like but if you've forgotten, then go ahead and use Desmos or another graphing utility to help you.)

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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Please answer only question 4.
3) Use the definition of the derivative (which involves limits) to calculate f'(2) given that f(x) = (x - 2)² +5. No shortcuts. To get credit, you must use the definition and show all work clearly. Be sure to use complete notation and put limits where necessary 4) Now verify your answer in problem 3 by sketching the graph of f(x) and briefly explain how you know whether your answer in problem 3 is correct or not. (You should know what the graph of f looks like but if you've forgotten, then go ahead and use Desmos or another graphing utility to help you.)
Transcribed Image Text:3) Use the definition of the derivative (which involves limits) to calculate f'(2) given that f(x) = (x - 2)² +5. No shortcuts. To get credit, you must use the definition and show all work clearly. Be sure to use complete notation and put limits where necessary 4) Now verify your answer in problem 3 by sketching the graph of f(x) and briefly explain how you know whether your answer in problem 3 is correct or not. (You should know what the graph of f looks like but if you've forgotten, then go ahead and use Desmos or another graphing utility to help you.)
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Geometrical Interpretation of derivative

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