Concept explainers
a.
To find: the intervals on which the function is increasing.
a.
Answer to Problem 13RE
Explanation of Solution
Given information: Given function is
Calculation:
Therefore ,y is increasing if y’ > 0 which only occurs on
b.
To find: the intervals on which the function is decreasing.
b.
Answer to Problem 13RE
Explanation of Solution
Given information: Given function is
Calculation:
Therefore, y is decreasing if y’ < 0 which occurs for
c.
To find: the intervals on which the function is concave up.
c.
Answer to Problem 13RE
Explanation of Solution
Given information: Given function is
Calculation:
Therefore, the function is concave up for
d.
To find: the intervals on which the function is concave down.
d.
Answer to Problem 13RE
Explanation of Solution
Given information: Given function is
Calculation:
Therefore, the function is concave down for
e.
To find: the intervals on which the function is local extreme values.
e.
Answer to Problem 13RE
Explanation of Solution
Given information: Given function is
Calculation:
Therefore, local maximum at
e.
To find: the intervals on which the function is inflection points.
e.
Answer to Problem 13RE
None.
Explanation of Solution
Given information: Given function is
Calculation:
If y’’ switch signs, then x- values is the location of an inflection point. y’’ does switch sign at x =0 but y is discontinuous at this value so it cannot be the location of an inflection point. y therefore has no inflection points.
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic
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