Answered: Find the derivative of the given…

Name: Find the derivative of the given function
Uploaded: 2024-03-20T06:46:42.000Z
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Description: Find the derivative of the given function

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 9CC

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Find the derivative of the given function

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Step 1

$G i v e n, y = c o t^{- 1} (\frac{1}{x}) - \tan^{- 1} (x) F o r m u l a u s e d i n t h i p r o b l e m \frac{d}{dx} (\cot^{- 1} (x^{n}) - \tan^{- 1} (x)) = \frac{- 1}{1 + {(x^{n})}^{2}} \frac{d}{dx} (x^{n}) \frac{d}{dx} (\tan^{- 1} (x^{n})) = \frac{1}{1 + {(x^{n})}^{2}} \frac{d}{dx} (x^{n})$

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