Let f(x) = x + 3x² + 3. Calculate the derivative f'(x) = Calculate the second derivative f''(x) Note intervals are entered in the format (-00,5)U(7,0o) (these are two infinite intervals). On what interval(s) is f increasing? Increasing: On what interval(s) is ƒ decreasing? Decreasing: On what interval(s) is ƒ concave downward? Concave Down: On what interval(s) is ƒ 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:

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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Let f(x) = x³ + 3x² + 3.
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).
On what interval(s) is ƒ increasing?
Increasing:
On what interval (s) is ƒ 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.
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Transcribed Image Text:Let f(x) = x³ + 3x² + 3. 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). On what interval(s) is ƒ increasing? Increasing: On what interval (s) is ƒ 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. Submit Question
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