find dy/dx with implicit differentiation cos(xy)= x^2 - y

Answer 1

for the left side, use chain rule, d(cos(xy))/dx= -sin(xy)*(x*dy/dx+y), on right side d(x²-y)/dx=2x-dy/dx

equate both sides and solve for dy/dx=(2x+ysin(xy))/(1-xsin(xy))