Concept explainers
a.
To find the local extrema.
a.
Answer to Problem 15E
The
Explanation of Solution
Given information:
The given function is
Concept used:
Extreme values occur only at critical points and end points.
A point in the interior of the domain of a function f at which
Calculation :
Take derivative of the function
Equate the derivative to 0.
Put the value of x in the function
Therefore,
The local maximum at
b.
To find the intervals on which the function is increasing.
b.
Answer to Problem 15E
The function increases in the interval
Explanation of Solution
Given information:
The given function is
Concept used:
If
It is assumed that f be continuous on
Calculation :
For increasing function
Therefore,
The function increases in the interval
c.
To find the intervals on which the function is decreasing.
c.
Answer to Problem 15E
The function decreases in the interval
Explanation of Solution
Given information:
The given function is
Concept used:
If
It is assumed that f be continuous on
Calculation :
For decreasing function
Therefore,
The function decreases in the interval
Chapter 5 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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