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Approximating Values of a Function Using Local Linearity and Linearization

Hannah Hill

Hannah Hill

7 min read

Study Guide Overview

This study guide covers local linearity and linearization to approximate function values using tangent lines. It explains how to use the point-slope form and linearization formula to construct tangent line equations. The guide also discusses how to determine overestimations and underestimations based on concavity. Finally, it provides practice questions and solutions, including AP-style examples, covering how to find tangent lines, approximate function values, and determine over/underestimation.

Question 1 of 8

If f(x)=x2f(x) = x^2, what is the slope of the tangent line at x=3x = 3? ๐Ÿค”

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