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MHT CET2008MathematicsDifferentiation

If x³+y³-3 a x y=0 , then d y d x equals

Options

  1. Aa y-x² y²-a x
  2. Ba y-x² a y-y²
  3. Cx²+a y y²+a x
  4. Dx²+a y a x-y²

Correct answer

A. a y-x² y²-a x

Step-by-step solution

Given, x³+y³-3 a x y=0 On differentiating w.r.t. x , we get 3 x²+3 y² d y d x -3 a (x d y d x +y )=0 3 (x²-a y )+3 d y d x (y²-a x )=0 d y d x = a y-x² y²-a x

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