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Answer the following questions for the function f(x) = - 8x - 36x +240x – 11. a. Find formulas for f'(x) and t"(x). f'(x) = - 24x -72x +240 f"(x) = 48x- 72 Enter f(x), f'(x), and f"(x) into your grapher to examine the table. b. The formula for the first derivative f'(x) can be factored. Set f'(x) = 0 to find the two critical numbers. Hint You can factor out - 24 from all terms in the formula for f'(x) You can also scroll the table function on your calculator. The critical values are x = (2,261),(- 5, - 1111) (Use a comma to separate answers as needed.)

Answer the following questions for the function f(x) = - 8x - 36x +240x – 11. a. Find formulas for f'(x) and t"(x). f'(x) = - 24x -72x +240 f"(x) = 48x- 72 Enter f(x), f'(x), and f"(x) into your grapher to examine the table. b. The formula for the first derivative f'(x) can be factored. Set f'(x) = 0 to find the two critical numbers. Hint You can factor out - 24 from all terms in the formula for f'(x) You can also scroll the table function on your calculator. The critical values are x = (2,261),(- 5, - 1111) (Use a comma to separate answers as needed.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Answer the following questions for the function f(x) = - 8x° - 36x² + 240x – 11. a. Find formulas for f'(x) and f"(x). f'(x) = - 24x -72x +240 f"(x) = 48x - 72 Enter f(x), f'(x), and f"(x) into your grapher to examine the table. b. The formula for the first derivative f'(x) can be factored. Set f'(x) =0 to find the two critical numbers. Hint You can factor out - 24 from all terms in the formula for f'(x). You can also scroll the table function on your calculator. The critical values are x = (2,261),(-5, - 1111) (Use a comma to separate answers as needed )
Transcribed Image Text:Answer the following questions for the function f(x) = - 8x° - 36x² + 240x – 11. a. Find formulas for f'(x) and f"(x). f'(x) = - 24x -72x +240 f"(x) = 48x - 72 Enter f(x), f'(x), and f"(x) into your grapher to examine the table. b. The formula for the first derivative f'(x) can be factored. Set f'(x) =0 to find the two critical numbers. Hint You can factor out - 24 from all terms in the formula for f'(x). You can also scroll the table function on your calculator. The critical values are x = (2,261),(-5, - 1111) (Use a comma to separate answers as needed )
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