设F(u,υ)可微,且F´u≠F´υ,z(x,y)是由方程F(ax+bz,ay-bx)=0(b≠0)所确定的隐函数,求∂z/∂y.
设u=ax+bz, υ=ay-bz,F´y=aF´υ=F´z=bF´u-bF´υ, ∴(∂z/∂y)=-[aF´υ/b(F´u-F´υ]
设F(u,υ)可微,且F´u≠F´υ,z(x,y)是由方程F(ax+bz,ay-bx)=0(b≠0)所确定的隐函数,求∂z/∂y.
设u=ax+bz, υ=ay-bz,F´y=aF´υ=F´z=bF´u-bF´υ, ∴(∂z/∂y)=-[aF´υ/b(F´u-F´υ]