Relative Extrema and Points of Inflection In Exercises 71-78, find the relative extrema and the points of inflection (if any exist) of the function. Use a graphing utility to graph the function and confirm your results.
To calculate: The relative extrema and the points of inflection of the function
The given function is .
General differentiation formulae:
where u and v are two functions.
Points of extrema are given by:
Points of inflection are given by:
Consider the function .
Differentiate the function with respect to t;
To find point of inflection put ;
Since , this gives;
Therefore, point of inflection is at .
Therefore, the point of inflection is
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