Explanation Given: Given f ( x ) = sin − 1 ( x 2 ) Calculation: As we have f ( x ) = sin − 1 ( x 2 ) ⇒ f | ( x ) = 2 x 1 − x 2 ........... ( 1 ) ⇒ f | | ( x ) = 2 ( 1 − x 2 − x ( − 2 x ) 2 1 − x 2 ) ( 1 − x 2 ) = 2 ( 1 − x 2 + x 2 ) ( 1 − x 2 ) 1 − x 2 ∴ f | | ( x ) = 2 ( 1 − x 2 ) 1 − x 2

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Chapter 3.3, Problem 38S

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The local extreme of function f(x)=sin−1(x2) using second derivative test and verify the answer with graphing calculator.

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Chapter 3.3, Problem 37S

Chapter 3.3, Problem 39S

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Chapter 3 Solutions

Calculus

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The local extreme of function f ( x ) = sin − 1 ( x 2 ) using second derivative test and verify the answer with graphing calculator.

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The local extreme of function f(x)=sin−1(x2) using second derivative test and verify the answer with graphing calculator.

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Chapter 3 Solutions