The local extreme values and any absolute extremum of the given function.
Answer to Problem 4E
It has been determined that
Explanation of Solution
Given:
The function,
Concept used:
The critical points of a function
If
The local minima (or maxima) where the function attains the least (or greatest) value is called the absolute minima (or maxima) of the function.
Calculation:
The given function is
Differentiating,
Simplifying,
Equating the first derivative to zero to obtain the critical points,
Solving,
So, the only critical point of the given function is
Let
It follows that,
Then,
Similarly, let
It follows that,
Then,
So,
It should be noted that
This implies that there is no absolute minimum value of the given function.
Conclusion:
It has been determined that
Chapter 4 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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