设F(x,y,z)=0,且F具有二阶连续偏导数,求z对x的二阶偏导数
-(FxxFz^2-2FxzFxFz+FzzFx^2)/Fz^3,求具体过程,...为什么我算出来一直和答案对不上啊>_<
人气:323 ℃ 时间:2020-06-04 12:10:01
解答
(偏导数的符号用a代替了)两边对x求偏导数:Fx+Fz*az/ax=0az/ax=-Fx/Fz两边对x求偏导数:a^2z/ax^2=-(FxxFz+FxzFz*az/ax-Fx(Fzx+Fzz*az/ax))/Fz^2=-(FxxFz-FxzFz*Fx/Fz-FxFzx+FxFzz*Fx/Fz)/Fz^2=-(FxxFz^2-2FxzFxFz...没太懂啊...我就是-Fx/Fz对x求偏导数算不对...能把这一步再写细点吗>_<a^z/ax^2=-(aFx/ax*Fz-Fx*aFz/ax)/Fz^2=-(Fxx*Fz+Fxz*az/ax*Fz-Fx*(Fzx+Fzz*az/ax))/Fz^2第一步是除法的求导,第二步是链式法则
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