In the following question, show all your steps, and do not use any differentiation rules from Section 3.3. 1 Let f(x)=x³ - + 5. (a) Using the Definition of the Derivative from page 125, determine f'(x) (b) Using the Alternative Formula for the Derivative from page 126, determine f '(x) again (you should get the same answer as in (a) ).
In the following question, show all your steps, and do not use any differentiation rules from Section 3.3. 1 Let f(x)=x³ - + 5. (a) Using the Definition of the Derivative from page 125, determine f'(x) (b) Using the Alternative Formula for the Derivative from page 126, determine f '(x) again (you should get the same answer as in (a) ).
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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Transcribed Image Text:In the following question, show all your steps, and do not use any
differentiation rules from Section 3.3.
1
Let f(x)=x³ –- + 5.
(a) Using the Definition of the Derivative from page 125, determine f '(x)
(b) Using the Alternative Formula for the Derivative from page 126,
determine f '(x) again (you should get the same answer as in (a) ).
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Follow-up Questions
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Follow-up Question
Can you solve this using another formula for the derivative? (image of formula attached)
Transcribed Image Text:Alternative Formula for the Derivative
ƒ'(x) = lim
Z→X
f(z) – f(x)
-
Z X
Solution
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