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Consider the following. y = - X 2 (a) Find y' = f'(x). f'(x) =X- 1 (b) Find the critical value. X = (c) Find the critical point. (1.- (x, y) = | (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) (e) Classify the critical point as a relative maximum, a relative minimum, or a horizontal point of inflection. In each case, check your conclusions with a graphing utility. (If an answer does not exist, enter DNE.) relative maxima (х, у) %3D relative minima (x, y) = ( horizontal point of inflection (x, y) = Need Help? Read It Watch It Viewing Saved Work Revert to Last Response Submit Answer

Consider the following. y = - X 2 (a) Find y' = f'(x). f'(x) =X- 1 (b) Find the critical value. X = (c) Find the critical point. (1.- (x, y) = | (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) (e) Classify the critical point as a relative maximum, a relative minimum, or a horizontal point of inflection. In each case, check your conclusions with a graphing utility. (If an answer does not exist, enter DNE.) relative maxima (х, у) %3D relative minima (x, y) = ( horizontal point of inflection (x, y) = Need Help? Read It Watch It Viewing Saved Work Revert to Last Response Submit Answer

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following. 1 2 y = -x² - X 2 (a) Find y' = f'(x). f'(x) X – 1 (b) Find the critical value. X = (c) Find the critical point. (х, у) %3 2 (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) (e) Classify the critical point as a relative maximum, a relative minimum, or a horizontal point of inflection. In each case, check your conclusions with a graphing utility. (If an answer does not exist, enter DNE.) relative maxima (х, у) %3D relative minima (х, у) %3 horizontal point of inflection (х, у) %3 Need Help? Read It Watch It Viewing Saved Work Revert to Last Response Submit Answer
Transcribed Image Text:Consider the following. 1 2 y = -x² - X 2 (a) Find y' = f'(x). f'(x) X – 1 (b) Find the critical value. X = (c) Find the critical point. (х, у) %3 2 (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) (e) Classify the critical point as a relative maximum, a relative minimum, or a horizontal point of inflection. In each case, check your conclusions with a graphing utility. (If an answer does not exist, enter DNE.) relative maxima (х, у) %3D relative minima (х, у) %3 horizontal point of inflection (х, у) %3 Need Help? Read It Watch It Viewing Saved Work Revert to Last Response Submit Answer
For the function, find the relative maxima, relative minima, and horizontal points of inflection. (If an answer does not exist, enter DNE.) 1 y = =x³ + x² 35x + 20 (x, y) = 629 -7, x ) relative maxima 235 (x, y) = (| 5, ) relative minima 3 horizontal points of inflection (х, у) %D DNE Sketch the graph. Check your graph with a graphing utility. y y 200 200 100 100 - 10 -5 10 - 10 -5 10 100 - 100 - 200 - 200 y 200 200 100 100 X - 10 -5 5 10 - 10 -5 10 - 100 - 100 - 200 - 200 Need Heln? Read It
Transcribed Image Text:For the function, find the relative maxima, relative minima, and horizontal points of inflection. (If an answer does not exist, enter DNE.) 1 y = =x³ + x² 35x + 20 (x, y) = 629 -7, x ) relative maxima 235 (x, y) = (| 5, ) relative minima 3 horizontal points of inflection (х, у) %D DNE Sketch the graph. Check your graph with a graphing utility. y y 200 200 100 100 - 10 -5 10 - 10 -5 10 100 - 100 - 200 - 200 y 200 200 100 100 X - 10 -5 5 10 - 10 -5 10 - 100 - 100 - 200 - 200 Need Heln? Read It
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