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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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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: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.
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
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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please answer the relative maximum and minimun section and finding inflections points smaller and larger x

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