Explanation Formula used: The linearization of function f ( x ) at x = a is: L ( x ) = f ( a ) + f ′ ( a ) ( x − a ) Calculation: The function f ( x ) is: f ( x ) = x 2 x + 8 Differentiate f ( x ) with respect to the x . f ′ ( x ) = d d x ( x 2 x + 8 ) = 2 x + 8 + x 1 2 2 x + 8 ( 2 ) = 2 x + 8 + x 2 x + 8 = 3 x + 8 2 x + 8 Substitute, x = − 2 in f ( x ) . f ( x ) = x 2 x + 8 f ( − 2 ) = − 2 2 ( − 2 ) + 8 = − 2 4 = − 4 Hence, the function at x = − 2 is f ( − 2 ) = − 4 Substitute, x = − 2 in f ′ ( x )

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

11th Edition

ISBN: 9780137554843

Author: Allyn Washington, Richard Evans

Publisher: PEARSON+

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Chapter 24.8, Problem 24E

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The linearization of the function f(x)=x2x+8 at a=−2 and display the graph of f(x) and L(x).

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Chapter 24.8, Problem 23E

Chapter 24.8, Problem 25E

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Chapter 24 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

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Prob. 48RE Ch. 24 - Prob. 49RE Ch. 24 - Prob. 50RE Ch. 24 - Prob. 51RE Ch. 24 - Prob. 52RE Ch. 24 - In Exercises 49–94, solve the given problems. 53....Ch. 24 - Prob. 54RE Ch. 24 - Prob. 55RE Ch. 24 - Prob. 56RE Ch. 24 - The deflection y (in m) of a beam at a horizontal...Ch. 24 - Prob. 58RE Ch. 24 - Prob. 59RE Ch. 24 - Prob. 60RE Ch. 24 - Prob. 61RE Ch. 24 - Prob. 62RE Ch. 24 - In Fig. 24.75, the tension T supports the 40.0-N...Ch. 24 - Prob. 64RE Ch. 24 - Prob. 65RE Ch. 24 - Prob. 66RE Ch. 24 - An analysis of the power output P (in kW/m3) of a...Ch. 24 - The altitude h (in ft) of a certain rocket as a...Ch. 24 - Prob. 69RE Ch. 24 - Prob. 70RE Ch. 24 - Prob. 71RE Ch. 24 - Prob. 72RE Ch. 24 - Prob. 73RE Ch. 24 - A special insulation strip is to be sealed...Ch. 24 - Prob. 75RE Ch. 24 - Prob. 76RE Ch. 24 - Prob. 77RE Ch. 24 - Prob. 78RE Ch. 24 - Prob. 79RE Ch. 24 - Prob. 80RE Ch. 24 - Prob. 81RE Ch. 24 - Prob. 82RE Ch. 24 - Prob. 83RE Ch. 24 - Prob. 84RE Ch. 24 - Prob. 85RE Ch. 24 - Prob. 86RE Ch. 24 - 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The linearization of the function f ( x ) = x 2 x + 8 at a = − 2 and display the graph of f ( x ) and L ( x ) .

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The linearization of the function f(x)=x2x+8 at a=−2 and display the graph of f(x) and L(x).

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Chapter 24 Solutions