Use a graphing utility to graph the two functions and in the same viewing window. Use

Chapter 2, Problem 106

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Writing Use a graphing utility to graph the two functions \(f(x)=x^{2}+1\) and g(x) = |x| +1 in the same viewing window. Use the zoom and trace features to analyze the graphs near the point (0,1). What do you observe? Which function is differentiable at this point? Write a short paragraph describing the geometric significance of differentiability at a point.

Text Transcription:

f(x) = x^2 + 1

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