Question: How do I use and apply the MEAN VALUE THEORUM to approximate the following: How do I find the magnitude of the error as asked

How do I use and apply the MEAN VALUE THEORUM to approximate the following: How do I find the magnitude of the error as asked in the question below: The Magnitude of the error is less than(...........)

If you don't have a calculator, you may want to approximate (2, 187.0267)4/7 by 21874/7 = 81. Use the Mean Value Theorem to estimate the error in making this approximation. To check that you are on the right track, test your numerical answer below. The magnitude of the error is less than (Enter an exact answer using Maple syntax.)
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