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 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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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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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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,