Let f(x) 2x3 + 9x2 108x – 5. Calculate the derivative f' (x) = Calculate the second derivative f'"(x) = Note intervals are entered in the format (-00,5)U(7,00) (these are two infinite intervals). Enter "DNE" if the interval is empty. On what interval(s) is f increasing? Increasing: On what interval(s) is f decreasing? Decreasing:
Let f(x) 2x3 + 9x2 108x – 5. Calculate the derivative f' (x) = Calculate the second derivative f'"(x) = Note intervals are entered in the format (-00,5)U(7,00) (these are two infinite intervals). Enter "DNE" if the interval is empty. On what interval(s) is f increasing? Increasing: On what interval(s) is f decreasing? Decreasing:
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.4: Operations On Functions
Problem 123E
Related questions
Question
![Let f(x)
2x + 9x? – 108x
5.
Calculate the derivative
f'(x) =
Calculate the second derivative
f''(x) =
Note intervals are entered in the format (-00,5)U(7,00) (these are two infinite
intervals). Enter "DNE" if the interval is empty.
On what interval(s) is f increasing?
Increasing:
On what interval(s) is f decreasing?
Decreasing:
On what interval(s) is f concave downward?
Concave Down:
On what interval(s) is f concave upward?
Concave Up:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F678fef96-64be-4096-a74a-c4eb0a405ee7%2F8b9d8164-69f4-4f31-9437-12d392a6a696%2Fpdh66fd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(x)
2x + 9x? – 108x
5.
Calculate the derivative
f'(x) =
Calculate the second derivative
f''(x) =
Note intervals are entered in the format (-00,5)U(7,00) (these are two infinite
intervals). Enter "DNE" if the interval is empty.
On what interval(s) is f increasing?
Increasing:
On what interval(s) is f decreasing?
Decreasing:
On what interval(s) is f concave downward?
Concave Down:
On what interval(s) is f concave upward?
Concave Up:
![What is the limit as x approaches infinity?
Limit is:
What is the limit as x approaches negative infinity?
Limit is:
Sketch the graph and submit with your work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F678fef96-64be-4096-a74a-c4eb0a405ee7%2F8b9d8164-69f4-4f31-9437-12d392a6a696%2Fn3wkvtg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:What is the limit as x approaches infinity?
Limit is:
What is the limit as x approaches negative infinity?
Limit is:
Sketch the graph and submit with your work.
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