Given the function f(x)=x^3-6x^2+9x+1` , answer the following questions algebraically: a) Use the first derivative test to find the interval(s) where `f(x)` is decreasing. Show your work including a sign chart. b) Use the second derivative test to find any inflection point(s). Show your work including a sign chart.
Given the function f(x)=x^3-6x^2+9x+1` , answer the following questions algebraically: a) Use the first derivative test to find the interval(s) where `f(x)` is decreasing. Show your work including a sign chart. b) Use the second derivative test to find any inflection point(s). Show your work including a sign chart.
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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