To calculate : The points of inflection of the function
Answer to Problem 13E
The points 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 product and power rule to differentiate.
Calculation :
Consider the function
Calculate the first derivative of the function using product and power rule.
Calculate the second derivative of the function using product and power rule.
Set
The value of exponential is never 0. The function
The factor
Then the points of inflection are
The solution can be confirmed from the graph as follows.
Thus, the points of inflection of the function
Chapter 4 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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