find dy/dx using implicit differentiation

cos(x)+tan(xy)+8=7

First i change to cos(x)+tan(xy)+1=0

Im using -F_{x}(x,y) / F_{y}(x,y)

F_{x}= -sin(x)+ysec^{2}(xy)

F_{y}= xsec^{2}(xy)

dy/dx= sin(x)+ysec^{2}(xy) / xsec^{2}(xy)

Right or wrong? Thanks.