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

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