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COMEDK2012MathematicsDifferentiation

If x= 1-t 1+t , y= 2 t 1+t , then d² y d x² =

Options

  1. A2 t (1+t)²
  2. B1 (1+t)⁴
  3. C2 t (1+t)²
  4. D0

Correct answer

D. 0

Step-by-step solution

We have, x= 1-t 1+t d x d t = -(1+t)-(1-t) (1+t)² = -2 1+t² and y= 2 t 1+t d y d t = (1+t) 2-2 t (1+t)² = 2 (1+t)² Now, d y d x = d y / d t d x / d t =-1 and d² y d x² =0

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