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COMEDK2014MathematicsInverse Trigonometric Functions

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

Options

  1. A1 (1+x² )
  2. Ba (1+a x² )
  3. C- 1 (1+x² )
  4. Dx (1+x² )

Correct answer

C. - 1 (1+x² )

Step-by-step solution

Given, y= ⁻¹ ( a-x 1+a x ) y= ⁻¹ a- ⁻¹ x Taking derivative w.r.t. x on both sides, we get d y d x =- 1 1+x²

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