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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) ).

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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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) ).
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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Can you solve this using another formula for the derivative? (image of formula attached)

Alternative Formula for the Derivative ƒ'(x) = lim Z→X f(z) – f(x) - Z X
Transcribed Image Text:Alternative Formula for the Derivative ƒ'(x) = lim Z→X f(z) – f(x) - Z X
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