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MHT CET202013 Oct 2020Morning ShiftMathematicsDifferentiationActual

If ₁₀ ( x³-y³ x³+y³ )=2 then d x d y =

Options

  1. A(- 99 101 ) x² y²
  2. B(- 101 99 ) x² y²
  3. C(- 101 99 ) y² x²
  4. D(- 99 101 ) y² x²

Correct answer

C. (- 101 99 ) y² x²

Step-by-step solution

array l Given ₁₀ ( x³-y³ x³+y³ )=2 x³-y³ x³+y³ =10² [ _ a m=x a^ x =m ] x³-y³=100 (x³+y³ ) array Differentiating w.r.t. x , array l 3 x²-3 y² d y d x =100 (3 x²+3 y² d y d x ) array x²-100 x²=y²(1+100) d y d x ...[Dividing both sides by 3 ] -99 x²=101 y² d y d x d x d y = (- 101 99 ) y² x²

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