设椭圆x²/a²+y²/b²=1你把y看做x的函数,y=y(x)f(x)=x²/a²=1-y²/b²f'(x)=2x/a²=-2y(x)y'(x)/b²y'(x)=-a²y(x)/b²x=-a²y/b²x[y²]'=2y*y',就像是[f²(x)]'=2f(x)*f'(x)一样。这涉及到隐函数求导,就先这样理解吧