To calculate : The points of inflection of the function
Answer to Problem 15E
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 power, and
Calculation :
Consider the function
Calculate the first derivative of the function using product and power rule.
Calculate the second derivative of the function using quotient and power rule.
Set
Draw the graph of the function
It can be seen from the graph that the concavity of the graph changes at the point
Thus, the points of inflection of the function
Chapter 4 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning