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COMEDK2020MathematicsDifferentiation

If ⁻¹ ( 1+x 1-y )=a , then d y d x is

Options

  1. Ay+1 x-1
  2. By-1 x+1
  3. Cx-1 y+1
  4. Dx-1 y-1

Correct answer

B. y-1 x+1

Step-by-step solution

We have, gathered ⁻¹ ( 1+x 1-y )=a 1+x 1-y = a 1(1-y)-(1+x) (- d y d x ) (1-y)² =0 1-y+(1+x) d y d x =0 d y d x = y-1 x+1 gathered

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