For the function g(x) = 2x³ - 24x+9 a. Find the critical numbers b. Use the first derivative test to find the intervals of increase and decrease and the local maximum and minimum points c. Determine the absolute maximum and minimum value on the interval [−3,1]

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 2E
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For the function g(x) = 2x³ - 24x+9
a. Find the critical numbers
b. Use the first derivative test to find the intervals of increase and decrease and the
local maximum and minimum points
c. Determine the absolute maximum and minimum value on the interval [−3,1]
Transcribed Image Text:For the function g(x) = 2x³ - 24x+9 a. Find the critical numbers b. Use the first derivative test to find the intervals of increase and decrease and the local maximum and minimum points c. Determine the absolute maximum and minimum value on the interval [−3,1]
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