If x^y = e^(x - y) show that dy/dx = logx/(1 + logx)^2

If x^y = e^x-y prove that dy/dx = logx/(1 + logx)^2 If x^y=e^x-y prove that dy/dx=logx/(1+logx)^2 if x^(y)=e^(x-y) prove that (dy)/(dx)=(log x)/((log xe)^(2)) if y^x=e^x-y prove that dy/dx=(1+log y)^2/log y if ylogx=x-y prove that dy/dx=logx/(1+logx)^2 if x^y=e^x+y prove that dy/dx=logx/(1+logx)^2 #calculus #math