Review Formulas (8) and (9) in Section 2.1 and use theMean-Value Theorem to show that if

Chapter 4, Problem 18

(choose chapter or problem)

Review Formulas ( 8 ) and (9) in Section 2.1 and use the Mean-Value Theorem to show that if f is differentiable on \((-\infty,+\infty)\), then for any interval \(\left[x_{0}, x_{1}\right]\) there is at least one point in \(\left(x_{0}, x_{1}\right)\) where the instantaneous rate of change of y with respect to x is equal to the average rate of change over the interval.

Equation Transcription:

Text Transcription:

(-infinity,+infinity)

[x_0,x_1]

(x_0,x_1)

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