来自施长治的问题
求由方程ycosx+sin(x-y)=0确定的隐函数y=f(x)的导数y`要写出过程.
求由方程ycosx+sin(x-y)=0确定的隐函数y=f(x)的导数y`
要写出过程.
1回答
2020-05-20 18:16
求由方程ycosx+sin(x-y)=0确定的隐函数y=f(x)的导数y`要写出过程.
求由方程ycosx+sin(x-y)=0确定的隐函数y=f(x)的导数y`
要写出过程.
由方程ycosx+sin(x-y)=0
对这个方程进行x求导,
即有:y'*cosx-y*sinx+cos(x-y)*(1-y')=0
这样对它进行化简得
y'=[y*sinx-cos(x-y)]/[cosx-cos(x-y)]