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MHT CET202211 Aug 2022Morning ShiftMathematicsDifferentiationActual

The derivative of ⁻¹ ( 1+x - 1-x 1+x + 1-x ) is

Options

  1. Ax
  2. B1 2 1-x^2
  3. C1 1-x^2
  4. D1-x^2

Correct answer

B. 1 2 1-x^2

Step-by-step solution

aligned & y= ⁻¹ ( 1+x - 1-x 1+x + 1-x ) let x= 2 & = 1 2 ⁻¹ x & y= ⁻¹ ( 1+ 2 - 1- 2 1+ 2 + 1- 2 ) & y= ⁻¹ ( 2 - 2 2 + 2 )= ⁻¹ ( 1- 1+ ) & y= ⁻¹ ( 4 - )= 4 - = 4 - 1 2 ⁻¹ x & d y d x =0- 1 2 -1 1-x^2 = 1 2 1-x^2 aligned

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