2122 Zoom in on the graph of f on an interval containing x = x0 until the graph looks
Chapter 2, Problem 22(choose chapter or problem)
Zoom in on the graph of f on an interval containing \(x=x_{0}\) until the graph looks like a straight line. Estimate the slope of this line and then check your answer by finding the exact value of \(f^{\prime}\left(x_{0}\right)\).
(a) \(f(x)=x^{3}-x^{2}+1, x_{0}=2.3\)
(b) \(f(x)=\frac{x}{x^{2}+1}, x_{0}=0.5\)
Equation Transcription:
Text Transcription:
f
x=x_0
f'(x_0)
f(x)=x^3-x^2+1,x_0=2.3
f(x)=x/x^2 + 1,x_0=0.5
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