Explanation Given: f ( x ) = x 2 Formula used: L ( x ) ≈ f ( x 0 ) + f ' ( x 0 ) ( x − x 0 ) Calculation: To find the local linearity to f ( x ) = x 2 at x 0 = 0.5 Firstly, find the value of the function at the given point: y 0 = f ( x 0 ) = 0.25 Secondly, find the derivative of the function, evaluated at the point: f ' ( 1 2 ) Find the derivative

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 1.5, Problem 10E

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The local linearity for the function f(x)=x2 at x = 0.5

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Chapter 1.5, Problem 9E

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Chapter 1 Solutions

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The local linearity for the function f ( x ) = x 2 at x = 0.5

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