Find the 1st partials of f(x,y) =3ye3xy\displaystyle {3}{y}{e}^{{{3}{x}{y}}}.

fx(x,y)\displaystyle {{f}_{{x}}{\left({x},{y}\right)}} =  

fy(x,y)\displaystyle {{f}_{{y}}{\left({x},{y}\right)}} =  

fxx(x,y)\displaystyle {{f}_{{{x}{x}}}{\left({x},{y}\right)}} =  

fyy(x,y)\displaystyle {{f}_{{{y}{y}}}{\left({x},{y}\right)}} =  

fxy(x,y)\displaystyle {{f}_{{{x}{y}}}{\left({x},{y}\right)}} =  

fyx(x,y)\displaystyle {{f}_{{{y}{x}}}{\left({x},{y}\right)}} =