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MHT CET202410 May 2024Evening ShiftMathematicsDifferentiationActual

If x^2 y^2= ⁻¹ x+ ⁻¹ x , then d y ~d x at x=1 and y=2 is

Options

  1. A1 2
  2. B2
  3. C- 1 2
  4. D-2

Correct answer

D. -2

Step-by-step solution

aligned & x^2 y^2 & = ⁻¹ x+ ⁻¹ x= 2 aligned Differentiating w.r.t. x, we get aligned & 2 x y^2+2 y x^2 d y d x =0 & . ~d y d x |_ (1,2) =-2 aligned

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