Consider the function f(x) = 4√x + 6 on the interval [3, 8]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (3, 8) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Consider the function f(x) = 4√x + 6 on the interval [3, 8]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (3, 8) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
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![Consider the function f(x) = 4√x + 6 on the interval [3, 8]. Find the average or mean slope of
the function on this interval.
By the Mean Value Theorem, we know there exists a c in the open interval (3, 8) such that f'(c) is
equal to this mean slope. For this problem, there is only one c that works. Find it.](https://content.bartleby.com/qna-images/question/e4962ae7-1cb2-4276-8f6a-b9f851b67289/e41eb249-a7b0-43ba-86b9-eef05fe31449/2gvaof_processed.png)
Transcribed Image Text:Consider the function f(x) = 4√x + 6 on the interval [3, 8]. Find the average or mean slope of
the function on this interval.
By the Mean Value Theorem, we know there exists a c in the open interval (3, 8) such that f'(c) is
equal to this mean slope. For this problem, there is only one c that works. Find it.
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