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(1)/((x^(2)+3)^(2))...

`(1)/((x^(2)+3)^(2))`

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Verified by Experts

Let `y = (1)/((x^(2)+3)^(2))`
`therefore (dy)/(dx)=(d)/(dx)(x^(2)+3)^(-2)`
`=-2(x^(2)+3)^(-3).(d)/(dx)(x^(2)+3)`
`=(-2)/((x^(2)+3)^(3)).(2x+0)=(-4x)/((x^(2)+3)^(3))`
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