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
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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Please help me for these two questions
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb039aed-b356-40cc-ba3e-936586ecb4b2%2Fefea4da3-7725-41f5-9afe-c8708ad0d78d%2F4jcyt0r_processed.jpeg&w=3840&q=75)
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
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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