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For the function g(x) = xv2 - x2 , use Calculus to do each of the following: a) Find the x-values of any local max/min. Be sure to show work which verifies that each is a max or min (sign chart with first derivative or second derivative test). b) Find the intervals on which g is increasing or decreasing. c) Find the x-values of any points of inflection. Be sure to show work which verifies there being a point of inflection (sign chart with second derivative).

For the function g(x) = xv2 - x2 , use Calculus to do each of the following: a) Find the x-values of any local max/min. Be sure to show work which verifies that each is a max or min (sign chart with first derivative or second derivative test). b) Find the intervals on which g is increasing or decreasing. c) Find the x-values of any points of inflection. Be sure to show work which verifies there being a point of inflection (sign chart with second derivative).

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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For the function g(x) = xv2 – x² , use Calculus to do each of the following: a) Find the x-values of any local max/min. Be sure to show work which verifies that each is a max or min (sign chart with first derivative or second derivative test). b) Find the intervals on which g is increasing or decreasing. c) Find the x-values of any points of inflection. Be sure to show work which verifies there being a point of inflection (sign chart with second derivative). d) Find the intervals on which g is concave up or concave down. e) Sketch the graph of the function. Your graph should match the information you found in the previous parts.
Transcribed Image Text:For the function g(x) = xv2 – x² , use Calculus to do each of the following: a) Find the x-values of any local max/min. Be sure to show work which verifies that each is a max or min (sign chart with first derivative or second derivative test). b) Find the intervals on which g is increasing or decreasing. c) Find the x-values of any points of inflection. Be sure to show work which verifies there being a point of inflection (sign chart with second derivative). d) Find the intervals on which g is concave up or concave down. e) Sketch the graph of the function. Your graph should match the information you found in the previous parts.
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