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AP EAMCET20228 Jul 2022Evening ShiftMathematicsDifferentiationActual

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

Options

  1. Ax 1-x^2
  2. B- 2
  3. C2
  4. D-x 2 1-x^2

Correct answer

B. - 2

Step-by-step solution

y= (2 ⁻¹ 1-x 1+x ), x= 2 Then, 1-x 1+x = 1- 2 1+ 2 = 2 ^2 2 ^2 = ^2 Then, ⁻¹ 1-x 1+x = ⁻¹( )= Now, y= (2 ) . d y d x = d y / d d x / d = d( 2 ) d 1 d( 2 ) d = 2 2 -2 2 d y d x =- 2

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