a.
To find: the local extrema of the given function.
a.
Answer to Problem 17E
The given function has no local extrema.
Explanation of Solution
Given:
Calculation:
Consider the given function,
Differentiating with respect to
Here, the derivative cannot be zero for any real value of
The derivative is not defined at
So, the critical value is
But the given function is not defined at
Hence the given function has no local extrema.
b.
To find: the intervals in which the given function is increasing.
b.
Answer to Problem 17E
There is no interval in which the given function is increasing.
Explanation of Solution
Given:
Concept used:
The function increases in the interval at which the first derivative is positive.
Calculation:
Consider the given function,
Differentiating with respect to
Now the function increases in the interval for which,
It is not possible for any real value of
Hence there is no interval in which the given function is increasing.
c.
To find: the intervals in which the given function is decreasing.
c.
Answer to Problem 17E
The given function decreases in the intervals
Explanation of Solution
Given:
Concept used:
The function decreases in the interval at which the first derivative is negative.
Calculation:
Consider the given function,
Differentiating with respect to
Now the function decreases in the interval for which,
Hence the given function decreases in the intervals
Chapter 4 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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