Let f(x) = x + 3x? – 9x + 2. %3D Use the definition of a derivative or the derivative rules to find f'(x). f'(x) = %3D Use the definition of a derivative or the derivative rules to find f''(x). = (x),,f On what interval is f increasing (do not include the endpoints in the interval)? Interval on which f is increasing:

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) = x + 3x - 9x + 2.
Use the definition of a derivative or the derivative rules to find f'(x).
f'(x) =
Use the definition of a derivative or the derivative rules to find f''(x).
f"(x) =
On what interval is f increasing (do not include the endpoints in the interval)?
Interval on which f is increasing:
On what interval is f decreasing (do not include the endpoints in the interval)?
Interval on which f is decreasing:
On what interval is f concave down (include the endpoints in the interval)?
Interval of downward concavity:
On what interval is f concave up (include the endpoints in the interval)?
Interval of upward concavity:
Transcribed Image Text:Let f(x) = x + 3x - 9x + 2. Use the definition of a derivative or the derivative rules to find f'(x). f'(x) = Use the definition of a derivative or the derivative rules to find f''(x). f"(x) = On what interval is f increasing (do not include the endpoints in the interval)? Interval on which f is increasing: On what interval is f decreasing (do not include the endpoints in the interval)? Interval on which f is decreasing: On what interval is f concave down (include the endpoints in the interval)? Interval of downward concavity: On what interval is f concave up (include the endpoints in the interval)? Interval of upward concavity:
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