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

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Chapter 3.3, Problem 39S

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

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Chapter 3.3, Problem 38S

Chapter 3.3, Problem 40S

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find the zeros of the function algebraically: f(x) = 9x2 - 3x - 2

Chapter 3 Solutions

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

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

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