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MHT CET202210 Aug 2022Evening ShiftMathematicsDifferentiationActual

If x=t+ 1 t and y=t- 1 t , the d y ~d x =

Options

  1. A1-t^2 1+t^2
  2. Bt^2+1 t^2-1
  3. C1+t^2 1-t^2
  4. Dt^2-1 t^2+1

Correct answer

B. t^2+1 t^2-1

Step-by-step solution

d y ~d x = d y ~d t d x ~d t = 1+ 1 t^2 1- 1 t^2 = t^2+1 t^2-1

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