CORsider the following. f(x) = 6x³ – 9x² – 108x %3D (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation. increasing decreasing (b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.) local minimum value local maximum value
CORsider the following. f(x) = 6x³ – 9x² – 108x %3D (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation. increasing decreasing (b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.) local minimum value local maximum value
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.5: Functions
Problem 9ECP
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Question
Ch 4.3 #7
Can you show me how to do this
![Consider the following.
f(x) = 6x³ – 9x² – 108x
(a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.)
increasing
decreasing
(b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.)
local minimum value
local maximum value
(c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.)
concave up
concave down
(x, y) = (
inflection point](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f440a4a-a87c-43e8-9c30-e4890b6a6760%2Fff998098-2e42-485a-9f21-0163207a1b51%2Fv89ufq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following.
f(x) = 6x³ – 9x² – 108x
(a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.)
increasing
decreasing
(b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.)
local minimum value
local maximum value
(c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.)
concave up
concave down
(x, y) = (
inflection point
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