using the guide below Analyze and sketch the curve (x) = (x-1)² A) Domain, intercepts, asymptotes, and behaviour near the asymptotes B) Show that ƒ '(x) = (x+1) (x-1)³ C) Analyze f '(x): intervals of increase or decrease, critical numbers and values of any max/min D) Determine f "(x)

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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3. Analyze and sketch the curve f(x)=
using the guide below
A) Domain, intercepts, asymptotes, and behaviour near the asymptotes
B) Show that f '(x) = -
_-(x + 1)
(x-1)³
C) Analyze f '(x): intervals of increase or decrease, critical numbers and values of any max/min
D) Determine / "(x)
E) Analyze / " (.x): intervals of concavity and values of any inflection points and make a sketch of the
function
Transcribed Image Text:3. Analyze and sketch the curve f(x)= using the guide below A) Domain, intercepts, asymptotes, and behaviour near the asymptotes B) Show that f '(x) = - _-(x + 1) (x-1)³ C) Analyze f '(x): intervals of increase or decrease, critical numbers and values of any max/min D) Determine / "(x) E) Analyze / " (.x): intervals of concavity and values of any inflection points and make a sketch of the function
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