Explanation Given: Function f ( x ) = x 3 + x 2 − 6 Formula Used: The formula for tangle line approximation is given as: y ≈ f ( a ) + f ′ ( a ) ( x − a ) Calculation: Function is given as f ( x ) = x 3 + x 2 − 6 Derivative of the above function is calculated as f ′ ( x ) = d d x ( x 3 + x 2 − 6 ) f ′ ( x ) = d d x ( x 3 ) + d d x ( x 2 ) − d d x ( 6 ) f ′ ( x ) = ( 3 × x 3 − 1 ) + ( 2 × x 2 − 1 ) − ( 0 ) f ′ ( x ) = 3 x 2 + 2 x We need to find f ( 0

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 3.1, Problem 47P

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To approximate f(0.97) using tangent line approximation, where f(x)=x3+x2−6.

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Chapter 3.1, Problem 46P

Chapter 3.1, Problem 48P

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Chapter 3 Solutions

APPLIED CALCULUS (WILEY PLUS)

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To approximate f ( 0.97 ) using tangent line approximation, where f ( x ) = x 3 + x 2 − 6.

Solution Summary: The author explains how to approximate f(0.97) using tangent line approximation.

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To approximate f(0.97) using tangent line approximation, where f(x)=x3+x2−6.

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Chapter 3 Solutions