a) Let be continuous. Show that (b) Explain the result of part (a) graphically

Chapter 8, Problem 111

(choose chapter or problem)

(a) Let \(f^{\prime}(x)\) be continuous. Show that

\(\lim _{h \rightarrow 0} \frac{f(x+h)-f(x-h)}{2 h}=f^{\prime}(x)\)

(b) Explain the result of part (a) graphically.

Text Transcription:

f^prime x

lim _h rightarrow 0 f x+h - f x-h / 2 h=f^prime x

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