Concavity and points of inflection. Answer the following questions using the function f(z) = 3 In(36 + z²') The first derivative of the given function is s'(z) = 36 +x The second derivative of the given function is o( 30 –x²) f"(z) (30 – x² )² f has points of inflection that occur at z = (x,-6),(-6,6),(6,00) NOTE: If you believe the answer is none type "none". Otherwise, state the values as a comma separated list (if needed).
Concavity and points of inflection. Answer the following questions using the function f(z) = 3 In(36 + z²') The first derivative of the given function is s'(z) = 36 +x The second derivative of the given function is o( 30 –x²) f"(z) (30 – x² )² f has points of inflection that occur at z = (x,-6),(-6,6),(6,00) NOTE: If you believe the answer is none type "none". Otherwise, state the values as a comma separated list (if needed).
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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![Concavity and points of inflection.
Answer the following questions using the function f(z) = 3 In(36 + z*)
The first derivative of the given function is
f'(z)
36 +x?
The second derivative of the given function is
ol 36 –x)
f"(x):
(36 -x)?
f has points of inflection that occur at z =
(x,-6).(-6,6),(6,00)
NOTE: If you believe the answer is none type "none". Otherwise, state the values as a comma separated list (if needed).
fis concave down on (6,00) and concave up on (-6,6)
NOTE: State the open intervals of concavity as a comma separated list (if needed).
Note: You can earn partial credit on this problem.
Entered
Answer Preview
Result
Message
(6*xV[36+(x*2)]
correct
36 + 2?
6(36 – z*)
(36 + z?)?
- T"
(6*136-(x^2)]/([36+(x^2)]^2)
correct
(inf,-6),(-6,6),(6,inf)
incorrect The left endpoint of an interval can't be positive infinity
(6,infinity)
(6, 00)
incorrect
(-6,6)
(-6, 6)
correct](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7458494e-1c30-4492-8b7b-25cf26202e43%2F72550e8f-2584-411f-bc99-ac79df0c03e0%2Fxnx2q5_processed.png&w=3840&q=75)
Transcribed Image Text:Concavity and points of inflection.
Answer the following questions using the function f(z) = 3 In(36 + z*)
The first derivative of the given function is
f'(z)
36 +x?
The second derivative of the given function is
ol 36 –x)
f"(x):
(36 -x)?
f has points of inflection that occur at z =
(x,-6).(-6,6),(6,00)
NOTE: If you believe the answer is none type "none". Otherwise, state the values as a comma separated list (if needed).
fis concave down on (6,00) and concave up on (-6,6)
NOTE: State the open intervals of concavity as a comma separated list (if needed).
Note: You can earn partial credit on this problem.
Entered
Answer Preview
Result
Message
(6*xV[36+(x*2)]
correct
36 + 2?
6(36 – z*)
(36 + z?)?
- T"
(6*136-(x^2)]/([36+(x^2)]^2)
correct
(inf,-6),(-6,6),(6,inf)
incorrect The left endpoint of an interval can't be positive infinity
(6,infinity)
(6, 00)
incorrect
(-6,6)
(-6, 6)
correct
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