Find any critical numbers for f and then use the second derivative test to decide whether the critical number(s) lead to relative maxima or relative minim f'(c) = 0 or f'"(c) does not exist for a critical number c, then the second derivative test gives no information. In this case, use the first derivative test inst f(x) = 8x° - 14x² + 1 What is/are the critical number(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical number(s) is/are x =| (Simplify your answer. Use a comma to separate answers as needed.) B. There are no critical numbers.

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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Find any critical numbers for f and then use the second derivative test to decide whether the critical number(s) lead to relative maxima or relative minima. If
f"(c) = 0 or f'"(c) does not exist for a critical number c, then the second derivative test gives no information. In this case, use the first derivative test instead.
f(x) = 8x° - 14x2 + 1
What is/are the critical number(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The critical number(s) is/are x=
(Simplify your answer. Use a comma to separate answers as needed.)
O B. There are no critical numbers.
Transcribed Image Text:Find any critical numbers for f and then use the second derivative test to decide whether the critical number(s) lead to relative maxima or relative minima. If f"(c) = 0 or f'"(c) does not exist for a critical number c, then the second derivative test gives no information. In this case, use the first derivative test instead. f(x) = 8x° - 14x2 + 1 What is/are the critical number(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical number(s) is/are x= (Simplify your answer. Use a comma to separate answers as needed.) O B. There are no critical numbers.
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