Find the partial derivative $f_x$ for the function $f(x,y)=\sqrt[\phantom{2}]{30x+y^3}.$

$f_x(x,y)=\frac{1}{2\sqrt[\phantom{2}]{30x+y^3}}$

$f_x(x,y)=\frac{226}{\sqrt[\phantom{2}]{30x+y^3}}$

$f_x(x,y)=\frac{30x}{\sqrt[\phantom{2}]{30x+y^3}}$

$f_x(x,y)=\frac{30}{\sqrt[\phantom{2}]{30x+y^3}}$