Let f(x) = x³ - 3x² - 1. Calculate the derivative f'(x) = Calculate the second derivative f''(x) = Note: Make sure to use the union symbol when necessary. 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?

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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
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Let f(x) = x³ - 3x² – 1.
-
Calculate the derivative
f'(x) =
Calculate the second derivative
ƒ''(x) =
Note: Make sure to use the union symbol when necessary.
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:
Transcribed Image Text:Let f(x) = x³ - 3x² – 1. - Calculate the derivative f'(x) = Calculate the second derivative ƒ''(x) = Note: Make sure to use the union symbol when necessary. 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:
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