Question

Find dy/dx
y*cosx = sin(x-y)

Answer 1

F(x,y)=y*cos(x)-sin(x-y)=0, dy/dx=-(dF/dx)/(dF/dy), dF/dx=-y*sin(x)-cos(x-y), dF/dy=cos(x)+cos(x-y), dy/dx=[y*sin(x)+cos(x-y)]/[cos(x)+cos(x-y)].