y=e^x-e^(x+y),这是隐函数的求导法则,两边求导有:y'=e^x-e^(x+y)*(x+y)'即:y'=e^x-e^(x+y)(1+y')所以:y'=[e^x-e^(x+y)]/[1+e^(x+y)].