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COMEDK2012MathematicsDifferentiation

If y= ² ( ⁻¹ 1-x² 1+x² ) , then d y d x =

Options

  1. Ax
  2. B-x
  3. C1
  4. D-1

Correct answer

B. -x

Step-by-step solution

We have, y= ² [ ⁻¹ 1-x² 1+x² ] aligned Put x² &= So, y &= ² [ ⁻¹ 1- 1+ ] &= ² [ ⁻¹ ( 2 ) ] &= ² 2 = 1- 2 = 1-x² 2 d y d x &= -2 x 2 =-x aligned

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