2122 Zoom in on the graph of f on an interval containing x = x0 until the graph looks

Chapter 2, Problem 21

(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) \(f(x)=x^{2}-1, x_{0}=1.8\)

(b) \(f(x) \frac{x^{2}}{x-2}, x_{0}=3.5\)

Equation Transcription:

Text Transcription:

f

x=x_0

f'(x_0)

f(x)=x^2-1,x_0=1.8

f(x)x^2/x - 2,x_0=3.5

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