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BITSAT2021MathematicsDifferentiationActual

If x= 1-t² 1+t² and y= 2 t 1+t² , then d y d x is equal to :

Options

  1. A- y x
  2. By x
  3. C- x y
  4. Dx y

Correct answer

C. - x y

Step-by-step solution

Let x= 1-t² 1+t² and y= 2 t 1+t² Put t= , we get x= 1- ² 1+ ² and y= 2 1+ ² x= 2 and y= 2 dx d =-2 2 and dy d =2 2 Now, dy dx = dy d d dx =- 2 2 =- x y

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