If wouldn't ?
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.