he graph of the derivative ƒ¨(2) or function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. parts (A) and (B), use interval notation to report your answer. (If needed, you use U for the union symbol.) at values of ä in (0,8) is f(x) increasing? (If the function is not increasing anywhere, enter None.) 0 it values of x in (0,8) is f(x) concave down? (If the function is not concave down anywhere, enter None.) 0 values of x in (0,8) is where f(x) has a local minimum, and list them (separated by commas) in the box below. (If there are no local minima, enter ma: values of x in (0,8) is where f(x) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, e.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:0 9 1,0 I I I 8
Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window.
Note: For parts (A) and (B), use interval notation to report your answer. (If needed, you use U for the union symbol.)
(A) For what values of x in (0,8) is f(x) increasing? (If the function is not increasing anywhere, enter None.)
Answer:
(B) For what values of x in (0,8) is f(x) concave down? (If the function is not concave down anywhere, enter None.)
Answer:
(C) Find all values of x in (0,8) is where f(x) has a local minimum, and list them (separated by commas) in the box below. (If there are no local minima, enter
None.)
Local Minima:
(D) Find all values of x in (0,8) is where f(x) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points,
enter None.)
Inflection Points:
Transcribed Image Text:Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. Note: For parts (A) and (B), use interval notation to report your answer. (If needed, you use U for the union symbol.) (A) For what values of x in (0,8) is f(x) increasing? (If the function is not increasing anywhere, enter None.) Answer: (B) For what values of x in (0,8) is f(x) concave down? (If the function is not concave down anywhere, enter None.) Answer: (C) Find all values of x in (0,8) is where f(x) has a local minimum, and list them (separated by commas) in the box below. (If there are no local minima, enter None.) Local Minima: (D) Find all values of x in (0,8) is where f(x) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, enter None.) Inflection Points:
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