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Use the derivative to find the exact critical points and intervals of increase and decrease for f(x) = 4x3 - 21x² - 24x+ 5. 1) increasing on x< -3/4, decreasing on x > 1 2) increasing on x > 4, decreasing on x < -1/2 3) increasing on x< -1/2 and x > 4, decreasing on -1/2 < x < 4 4) increasing on x< -6 and x > 6, decreasing on -6 < x< 6

Use the derivative to find the exact critical points and intervals of increase and decrease for f(x) = 4x3 - 21x² - 24x+ 5. 1) increasing on x< -3/4, decreasing on x > 1 2) increasing on x > 4, decreasing on x < -1/2 3) increasing on x< -1/2 and x > 4, decreasing on -1/2 < x < 4 4) increasing on x< -6 and x > 6, decreasing on -6 < x< 6

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
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 84E
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Local maximums and minimum values always occur where 1) f'(x) = 0 2) f"(x) < O 3) f"(x) = 0 4) f'(x) = 0 or f'(x) is undefined
Transcribed Image Text:Local maximums and minimum values always occur where 1) f'(x) = 0 2) f"(x) < O 3) f"(x) = 0 4) f'(x) = 0 or f'(x) is undefined
Use the derivative to find the exact critical points and intervals of increase and decrease for f(x) = 4x3 - 21x² - 24x+ 5. 1) increasing on x< -3/4, decreasing on x> 1 2) increasing on x > 4, decreasing on x < -1/2 3) increasing on x < -1/2 and x > 4, decreasing on -1/2 < x < 4 4) increasing on x < -6 and x > 6, decreasing on -6 < x < 6
Transcribed Image Text:Use the derivative to find the exact critical points and intervals of increase and decrease for f(x) = 4x3 - 21x² - 24x+ 5. 1) increasing on x< -3/4, decreasing on x> 1 2) increasing on x > 4, decreasing on x < -1/2 3) increasing on x < -1/2 and x > 4, decreasing on -1/2 < x < 4 4) increasing on x < -6 and x > 6, decreasing on -6 < x < 6
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