Explanation Formula used: Product rule of differentiation, d d x [ f ( x ) + g ( x ) ] = f ( x ) d d x [ g ( x ) ] + g ( x ) d d x [ f ( x ) ] (1) Given information: The given equation is x 2 − 2 x y = 6 . Calculation: If the variable y can be expressed in terms of the independent variable x, that is, y = f ( x ) , then y is called explicit equation and if y cannot be expressed in terms of the independent variable x then it is called implicit equation. Differentiate the given equation with respect to x and simplify, d d x ( x 2 − 2 x y ) = d d x ( 6 ) d d x ( x 2 ) − 2 d d x ( x y ) = d d x ( 6 ) ( ∵ d d x ( x n ) =

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ISBN: 9781337825597

Author: Tan

Publisher: INTER CENG

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Chapter 3.6, Problem 13E

To determine

The derivative of the given equation by using implicit differentiation.

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Chapter 3.6, Problem 12E

Chapter 3.6, Problem 14E

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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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