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NDA2017MathematicsInverse Trigonometric FunctionsActual

If y= ⁻¹ ( x+1 x-1 )+ ⁻¹ ( x-1 x+1 ) , then d y d x is equal to

Options

  1. A0
  2. B1
  3. Cx -1 x +1
  4. Dx +1 x -1

Correct answer

A. 0

Step-by-step solution

aligned & y= ⁻¹ ( x+1 x-1 )+ ⁻¹ ( x-1 x+1 ) & = ⁻¹ ( x-1 x+1 )+ ⁻¹ ( x-1 x+1 ) aligned aligned & = 2 ( ⁻¹ x + ⁻¹ x = 2 ) & dy dx =0 aligned

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