If $y=(\frac{x}{x+1}{)}^5,$ then $\frac{dy}{dx}=$

$($A$)5(1+x{)}^4$

$($B$)\frac{x^4}{(x+1{)}^4}$

$($C$)\frac{5x^4}{(x+1{)}^4}$

$($D$)\frac{5x^4}{(x+1{)}^6}$

$($E$)\frac{5x^4(2x+1)}{(x+1{)}^6}$

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