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Theory and ExamplesLet ƒ be a function defined on an
Chapter 4, Problem 70E(choose chapter or problem)
Problem 70E
Theory and Examples
Let ƒ be a function defined on an interval [a, b]. What conditions could you place on ƒ to guarantee that
where min and max refer to the minimum and maximum
values of on [a, b]? Give reasons for your answers.
Questions & Answers
QUESTION:
Problem 70E
Theory and Examples
Let ƒ be a function defined on an interval [a, b]. What conditions could you place on ƒ to guarantee that
where min and max refer to the minimum and maximum
values of on [a, b]? Give reasons for your answers.
ANSWER:
Solution
Step 1 of 3
In this problem we have to prove that ƒ be a function defined on an interval [a, b]. What conditions could you place on ƒ to guarantee that
The condition is that should be continuous over and differentiating on