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NDA2012MathematicsDifferentiationActual

If y= x+1 x-1 , then what is d y d x equal to?

Options

  1. A-2 x-1
  2. B-2 (x-1)^2
  3. C2 (x-1)^2
  4. D2 (x-1)

Correct answer

B. -2 (x-1)^2

Step-by-step solution

aligned y & = x+1 x-1 d y d x & = (x-1)(1)-(x+1) 1 (x-1)^2 & = x-1-x-1 (x-1)^2 = -2 (x-1)^2 . aligned

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