当y=0时,
1+0+x²-1=0
x=0.
隐函数求导法则:
两边对x求导
(e^y)y'+6y+6xy'+2x=0[***]
令y=0,x=0求y'(0):
y'+0+0+0=0,y'(0)=0.
对[***]两边再求导
(e^y)(y')^2+(e^y)y''+6y'+6y'+6xy''+2=0
代入x=0,y=0,y'=0
y''+2=0
y''(0)=-2
求2阶导数
求2阶导数
y=y(x)由方程确定e^y + 6xy + x² -1 =0 则y''(0)=_______
e^y 是y的e次方
e^y 是e的y次方 写错了 对不起
y=y(x)由方程确定e^y + 6xy + x² -1 =0 则y''(0)=_______
e^y 是y的e次方
e^y 是e的y次方 写错了 对不起
数学人气:476 ℃时间:2020-05-22 11:33:08
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