Use y = (x2 - 2x)² and its derivative Y = 4x(x – 1)(x – 2) to find each of the following. dx Find the critical values. (Enter your answers as a comma-separated list.) Find the critical points. (х, у) (smallest x-value) (х, у) - (х, у) - | (largest x-value) Find the intervals on which the function is increasing. (Enter your answer using interval notation.) Find the intervals on which the function is decreasing. (Enter your answer using interval notation.)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Use y = (x2 - 2x)² and its derivative Y = 4x(x - 1)(x - 2) to find each of the following.
dx
Find the critical values. (Enter your answers as a comma-separated list.)
X =
Find the critical points.
(х, у) %3D
(smallest x-value)
([
- ([
(х, у) 3D
(х, у)
(largest x-value)
Find the intervals on which the function is increasing. (Enter your answer using interval notation.)
Find the intervals on which the function is decreasing. (Enter your answer using interval notation.)
Find the relative maxima, relative minima, and horizontal points of inflection. (If an answer does not exist, enter DNE.)
relative maxima
(x, v) = (|
(x, y) = (|
|(smaller x-value)
relative minima
(x, y) =(|
(larger x-value)
relative minima
horizontal points of inflection
(x, y) = (|
Transcribed Image Text:Use y = (x2 - 2x)² and its derivative Y = 4x(x - 1)(x - 2) to find each of the following. dx Find the critical values. (Enter your answers as a comma-separated list.) X = Find the critical points. (х, у) %3D (smallest x-value) ([ - ([ (х, у) 3D (х, у) (largest x-value) Find the intervals on which the function is increasing. (Enter your answer using interval notation.) Find the intervals on which the function is decreasing. (Enter your answer using interval notation.) Find the relative maxima, relative minima, and horizontal points of inflection. (If an answer does not exist, enter DNE.) relative maxima (x, v) = (| (x, y) = (| |(smaller x-value) relative minima (x, y) =(| (larger x-value) relative minima horizontal points of inflection (x, y) = (|
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