Explanation Given : Function is 2 x 3 + x 2 y − x y 3 = 2 . Calculation: Differentiate the function with respect to x by implicit differentiation as follows: d d x ( 2 x 3 + x 2 y − x y 3 ) = d d x ( 2 ) d d x ( 2 x 3 ) + d d x ( x 2 y ) − d d x ( x y 3 ) = 0 6 x 2 + x 2 ⋅ d y d x + 2 x y − 3 x y 2 ⋅ d y d x − y 3 ⋅ 1 = 0 ( x 2 −

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ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 3.5, Problem 68E

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The derivative of the function 2x3+x2y−xy3=2 by implicit differentiation.

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Chapter 3.5, Problem 67E

Chapter 3.5, Problem 69E

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The derivative of the function 2 x 3 + x 2 y − x y 3 = 2 by implicit differentiation .

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