a.
To find the local extrema.
a.
Answer to Problem 24E
The
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 :
The domain of the function is
Take derivative of the function
Equate the derivative to 0.
Value at
Therefore,
The local maximum at
The local minimum at
b.
To find the intervals on which the function is increasing.
b.
Answer to Problem 24E
The function increases on
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 on
c.
To find the intervals on which the function is decreasing.
c.
Answer to Problem 24E
The function decreases on
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 on
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic
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