1,0 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 largerversion in a separate window.Refer to the graph to answer each of the following questions. 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 a in (0,8) is ƒ(x) increasing? (If the function is not increasing anywhere, enter None .)Answer:(B) For what values of x in (0,8) is ƒ(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. (Ifthere 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. (Ifthere are no inflection points, enter None .)Inflection Points:

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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. Refer to the graph to answer each of the following questions. 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 a in (0,8) is f(x) increasing? (If the function is not increasing anywhere, enter None .) Answer: (B) For what values of a in (0,8) is f(æ) concave down? (If the function is not concave down anywhere, enter None .) Answer: (C) Find all values of a 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:

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. Refer to the graph to answer each of the following questions. 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 a in (0,8) is f(x) increasing? (If the function is not increasing anywhere, enter None .) Answer: (B) For what values of a in (0,8) is f(æ) concave down? (If the function is not concave down anywhere, enter None .) Answer: (C) Find all values of a 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:

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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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

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.
Refer to the graph to answer each of the following questions. 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 a in (0,8) is ƒ(x) increasing? (If the function is not increasing anywhere, enter None .)
Answer:
(B) For what values of x in (0,8) is ƒ(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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Advanced Engineering Mathematics

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ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated