Given the equation of the function y=x3– 12x2+ 36x – 11. find the following: • the expression for y • the critical points of the function; • the expression for y" • the point of inflection of the function; • the slope of the inflectional tangent of y=f(x): • the equation of the inflectional tangent of y=f (x); • Is the function increasing or decreasing at the point of inflection? Briefly explain your answer. Note: The inflectional tangent is the tangent line of f(x) at the point of inflection.
Given the equation of the function y=x3– 12x2+ 36x – 11. find the following: • the expression for y • the critical points of the function; • the expression for y" • the point of inflection of the function; • the slope of the inflectional tangent of y=f(x): • the equation of the inflectional tangent of y=f (x); • Is the function increasing or decreasing at the point of inflection? Briefly explain your answer. Note: The inflectional tangent is the tangent line of f(x) at the point of inflection.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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