To calculate : The points of inflection of the function
Answer to Problem 19E
The point of inflection of the function
Explanation of Solution
Given information : The function
Formula used : The point of inflection of the graph is the point where the function has a tangent line an where the concavity of the graph changes.
Use the power,
Calculation :
Consider the function
Calculate the first derivative of the function using product and power rule.
Calculate the second derivative of the function using power rule.
Set
It can be seen that for the value
The inflection point is
Now,
Draw the graph of the function
It can also be seen from the graph that the concavity of the graph changes at the point
Thus, the point of inflection of the function
Chapter 4 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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