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NDA2014MathematicsDifferentiationActual

What is the derivative of 1+ x 1- x ?

Options

  1. A1 2 ^2 x 2
  2. B- 1 2 cosec ^2 x 2
  3. C- cosec ^2 x 2
  4. DNone of the above

Correct answer

B. - 1 2 cosec ^2 x 2

Step-by-step solution

aligned y & = 1+ x 1- x = 2 ^2 x 2 2 ^2 x 2 & = ^2 x 2 ^2 x 2 = x 2 x 2 = x 2 aligned Differentiating both sides with respect to x . d y d x =- 1 2 cosec ^2 x 2 .

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