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We consider the function f having as domain the interval 0, oo[and given by the formula f(x) = 8x² – (24x +9) In(x). • Find the valueain the field of f to which f" is zero or undefined and give its exact value in the first column of the table below. The second column includes several drop-down menus. Do the following: • for each of the given intervals, identify if the graph of f is concave or convex; • identify ifæ = ais an inflection point of the graph of f. Behavior x < a Click for List a = Click for List x > a Click for List

We consider the function f having as domain the interval 0, oo[and given by the formula f(x) = 8x² – (24x +9) In(x). • Find the valueain the field of f to which f" is zero or undefined and give its exact value in the first column of the table below. The second column includes several drop-down menus. Do the following: • for each of the given intervals, identify if the graph of f is concave or convex; • identify ifæ = ais an inflection point of the graph of f. Behavior x < a Click for List a = Click for List x > a Click for List

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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We consider the function f having as domain the interval]0, ∞[and given by the formula f(x) = 8a2 – (24x+9) In(x) . • Find the valueain the field of f to which f" is zero or undefined and give its exact value in the first column of the table below. The second column includes several drop-down menus. Do the following: • for each of the given intervals, identify if the graph of f is concave or convex; • identify ifæ = ais an inflection point of the graph of f. Behavior x < a Click for List a = Click for List x > a Click for List
Transcribed Image Text:We consider the function f having as domain the interval]0, ∞[and given by the formula f(x) = 8a2 – (24x+9) In(x) . • Find the valueain the field of f to which f" is zero or undefined and give its exact value in the first column of the table below. The second column includes several drop-down menus. Do the following: • for each of the given intervals, identify if the graph of f is concave or convex; • identify ifæ = ais an inflection point of the graph of f. Behavior x < a Click for List a = Click for List x > a Click for List
We consider the equation curve x3 + y3 = 5xy+1. Along this curve (except in a few points),yis an implicit function ofx. dy according toxandy. dx a) Determine the derivative dy dx b) Deduce the equation from tangent to curvex3 + y3 5xy +1 to the point(0.1). Express your answer in the form y =ax + 6 . Answer:
Transcribed Image Text:We consider the equation curve x3 + y3 = 5xy+1. Along this curve (except in a few points),yis an implicit function ofx. dy according toxandy. dx a) Determine the derivative dy dx b) Deduce the equation from tangent to curvex3 + y3 5xy +1 to the point(0.1). Express your answer in the form y =ax + 6 . Answer:
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