A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) f(x) = 24(3-X) x²³(x - 2)1/3 8(7x²-42x + 54) x4(x-2)4/3 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) f'(x) = f"(x) (x, y) = 18(x - 2)2/3 horizontal asymptotes vertical asymptotes Find any critical points. (x, y) = (smaller x-value) (larger x-value)
A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) f(x) = 24(3-X) x²³(x - 2)1/3 8(7x²-42x + 54) x4(x-2)4/3 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) f'(x) = f"(x) (x, y) = 18(x - 2)2/3 horizontal asymptotes vertical asymptotes Find any critical points. (x, y) = (smaller x-value) (larger x-value)
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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Transcribed Image Text:A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not
exist, enter DNE.)
f(x) =
f'(x)=
(x, y) =
f"(x) =
vertical asymptotes
(x, y) =
A
Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.)
horizontal asymptotes
18(x-2)2/3
x²
24(3 - x)
x²³(x - 2)1/3
X
Find any critical points.
8(7x² - 42x + 54)
x ²(x - 2)4/3
(x, y) =
relative minimum
relative maximum (x, y) =
Find any relative maxima and relative minima.
(smaller x-value)
(x, y) =
(larger x-value)
Find any points of inflection. (Round the coordinates to two decimal places.)
(x, y) =
(smaller x-value)
(larger x-value)
Sketch the graph of the function.

Transcribed Image Text:Sketch the graph of the function
-10
-10
-5
10
-10
10
5
<-5
10
3
10
TU
X
x
-10
L
10
-5
-10
10
3
10
5
10
X
4
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