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MHT CET202613 April 2026Evening ShiftMathematicsDifferentiationActual

d dx [ ^2 ⁻¹ 1-x 1+x ] = ...

Options

  1. A-1
  2. B1 2
  3. C-1 2
  4. D1

Correct answer

B. 1 2

Step-by-step solution

Let y = ^2 ⁻¹ 1-x 1+x Let ⁻¹ 1-x 1+x = = 1-x 1+x ^2 = 1-x 1+x We know that ^2 = 1 ^2 = 1 1 + ^2 Substituting the value of ^2 : ^2 = 1 1 + 1-x 1+x = 1+x 1+x+1-x = 1+x 2 Therefore, y = 1+x 2 Differentiating with respect to x : dy dx = d dx ( 1+x 2 ) = 1 2

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