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MHT CET20226 Aug 2022Evening ShiftMathematicsDifferentiationActual

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

Options

  1. A-1 1-x^2
  2. B-x 1-x^2
  3. C1 1-x^2
  4. D-2 x 1-x^2

Correct answer

B. -x 1-x^2

Step-by-step solution

aligned & y= (2 ⁻¹ 1+x 1-x ) & y= (2 ⁻¹ ( 2 ) )[ let x= ] & y= (2 ⁻¹ ( 2 - 2 ) ) & y= (2 ( 2 - 2 ) ) & y= ( - )= = 1-x^2 aligned d y d x = 1 2 1-x^2 (-2 x)= -x 1-x^2

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