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Find the derivative of y(x)=x^(3)//(x+1)...

Find the derivative of `y(x)=x^(3)//(x+1)^(2)` with respect to x .

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Verified by Experts

We can rewrite this function as `y(x)=x^(3)(x+1)^(-2)`and apply Equation()
`(dy)/(dx)=(x+1)^(-2) (d)/(dx)(x^(3))+x^(3)(d)/(dx)(x+1)^(-2)`
`=(x+1)^(-2)3x^(2)+x^(3)(-2)(x+1)^(-3)`
`(dy)/(dx)=(3x^(2))/((x+1)^(2))-(2x^(3))/((x+1)^(3))`
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