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AP EAMCET202423 May 2024Morning ShiftMathematicsDifferentiationActual

If y= ⁻¹ ( 1-x 1+x ) then d y d x

Options

  1. A- 2 |1+x| 1+x^2
  2. B-1 (1+x) x
  3. C1 (1+x^2 ) 1+x
  4. D- 2 (1+x) 1-x

Correct answer

A. - 2 |1+x| 1+x^2

Step-by-step solution

y= h⁻¹ ( 1-x 1+x ) aligned & d y d x = 1 ( 1-x 1+x )^2+1 -(1+x)-(1-x) (1+x)^2 & d y d x = -2 |1+x| 2+2 x^2 = - 2 |1+x| 1+x^2 aligned

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