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KCET2007MathematicsDifferentiation

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

A. y-1 x+1

Step-by-step solution

Given, ⁻¹ ( 1+x 1-y )=a 1+x 1-y = a 1+x=(1-y) a y a= a-1-x d y d x a=-1 d y d x = -1 a = -1 ( 1+x 1-y ) d y d x = -(1-y) (1+x) d y d x = y-1 x+1

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