如果不习惯,可以先求导数:
设y=f(u) ,u=g(v) v=h(x),那么y=f(g(h(x)))
y'=f'(u)g'(v)h'(x)
=f'(g(h(x)))g'(h(x))h'(x)
所以:dy=f'(g(h(x)))g'(h(x))h'(x)dx。
或者:
y=f(g(x))
dy/dx=df(g(x))/d(g(x)) * d(g(x))/dx
如:
y=cos(x^2)
dy/dx=d(cos(x^2))/d(x^2) * d(x^2)/dx
dy/dx=-sin(x^2) * 2x
微分为:dy=-2xsin(x^2) dx
求微分,得
(2x+2y+2z)/(x²+y²+z²)-3(yzdx+xzdy+xydz) = 0,
整理成
dz = ----dx+----dy,
就可以得到
Dz/Dx = ----
百度一下,酷影模式,你懂得!