Answer: Using the Mean Value Theorem In Exercises 3952, determine whether the Mean Value

Chapter 4, Problem 44

(choose chapter or problem)

Using the Mean Value Theorem In Exercises 39-52, determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that

\(f^{\prime}(c)=\frac{f(b)-f(a)}{b-a}\).

If the Mean Value Theorem cannot be applied,explain why not.

\(f(x)=\frac{x+1}{x}, \quad[-1,2]\) 

Text Transcription:

f’(c)=f(b)-f(a)/b-a

f(x)=x+1/x, [-1, 2]

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