If y = tan ^(-1) ((2x )/( 1 -x ^(2))) + ...

If `y = tan ^(-1) ((2x )/( 1 -x ^(2))) + tan ^(-1) ((3x - x ^(3))/( 1 - 3x ^(2)))- tan ^(-1) ((4x - 4x ^(3))/( 1 - 6x + x ^(4))),` then show that `(dy)/(dx) = (1)/(1 + x ^(2)).`

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The correct Answer is:

`(1)/( 1 + x ^(2))`

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