Explanation Given information: The given function is f ( x ) = ( x + 1 x − 1 ) 2 . The given points are ( 3 , 4 ) Formula used: The chain rule for differentiation is, h ′ ( x ) = d d x f [ g ( x ) ] = f ′ [ g ( x ) ] g ′ ( x ) The slope of the line is, m = f ′ ( x ) The equation of the line is, y − y 1 = m ( x − x 1 ) Calculation: The differentiation of given function is, f ′ ( x ) = d d x ( x + 1 x − 1 ) 2 = ( x − 1 ) 2 d d x ( x + 1 ) 2 − ( x + 1 ) 2 d d x ( x − 1 ) 2 ( x − 1 ) 4 = ( x − 1 ) 2 ⋅ 2 ( x + 1 ) 2 − ( x + 1 ) 2 ⋅ 2 ( x − 1 ) 2 ( x − 1 ) 4 Further solve the above derivative

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ISBN: 9781337825597

Author: Tan

Publisher: INTER CENG

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Chapter 3.3, Problem 64E

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To find The equation of the tangent line to the graph of the given function at the given points.

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Chapter 3.3, Problem 63E

Chapter 3.3, Problem 65E

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Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ 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

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Chapter 3 Solutions