13112an3.17-18

# 13112an3.17-18 - c Kendra Kilmer February 3, 2012 Section...

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c c Kendra Kilmer February 3, 2012 Section 3.9 - Linear Approximations and Differentials The approximation is called the linear approximation or tangent line approximation of f at a . The linear function whose graphs is this tangent line, that is, is called the linearization of f at a . Example 1: Find the linear approximation of the function f ( x ) = 3 1 + x at a = 0 and use it to approximate the numbers 3 0 . 99 and 3 1 . 1. Example 2: Use a linear approximation to estimate ( 8 . 04 ) 4 / 3 . Example 3: Find the linear approximation of the function f ( x ) = e x at a = 0 and determine the values of x for which the linear approximation is accurate to within 0 . 1. 17

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c c Kendra Kilmer February 3, 2012 Example 4: Suppose that we don’t have a formula for g ( x ) but we know that g ( 2 ) =
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## This note was uploaded on 04/01/2012 for the course MATH 131 taught by Professor Allen during the Fall '08 term at Texas A&M.

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13112an3.17-18 - c Kendra Kilmer February 3, 2012 Section...

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