Explanation Given information: The function: y = tan − 1 ( x − 1 + x 2 ) Calculation: y = tan − 1 ( x − 1 + x 2 ) Differentiate the function with respect to x . d y d x = d d ( x − 1 + x 2 ) ( tan − 1 ( x − 1 + x 2 ) ) ⋅ d d x ( x − 1 + x 2 ) ( Use Chain Rule ) = 1 1 + ( x − 1 + x 2 ) 2 ⋅ ( 1 − 1 2 1 + x 2 ⋅ 2 x ) ( ∵ d d x x n = n x n − 1 ) = 1

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ISBN: 9781305177291

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Chapter 3.7, Problem 47E

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To find:derivative of y=tan−1(x−1+x2) .

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Chapter 3.7, Problem 46E

Chapter 3.7, Problem 48E

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Chapter 3 Solutions

Biocalculus: Calculus For Life Sciences

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

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derivative of y = tan − 1 ( x − 1 + x 2 ) .

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Chapter 3 Solutions