The local extreme values of the given function using the first derivative test.

Answer to Problem 1QR
It has been determined that the given function has no local extreme values.
Explanation of Solution
Given:
The function,
Concept used:
The critical points of a function
If
Calculation:
The given function is
Differentiating,
Simplifying,
On further simplification,
Equating the first derivative to zero to obtain the critical points,
Solving,
So, the only critical point of the given function is
Note that,
This implies that there is no point of local extrema at
Since there are no other critical points, it follows that the given function has no local extreme values.
Conclusion:
It has been determined that the given function has no local extreme values.
Chapter 4 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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