由方程e∧y=sin(x+y)确定y为x的函数,求dy/dx.
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/04/27 21:24:06
由方程e∧y=sin(x+y)确定y为x的函数,求dy/dx.
e^y=sin(x+y)
两边求导得
e^y *y'=cos(x+y)(x+y)'=cos(x+y)(1+y')=cos(x+y)+y'cos(x+y)
[e^y-cos(x+y)]y'=cos(x+y)
y'=dy/dx=cos(x+y)/[e^y-cos(x+y)]
两边求导得
e^y *y'=cos(x+y)(x+y)'=cos(x+y)(1+y')=cos(x+y)+y'cos(x+y)
[e^y-cos(x+y)]y'=cos(x+y)
y'=dy/dx=cos(x+y)/[e^y-cos(x+y)]
由方程e∧y=sin(x+y)确定y为x的函数,求dy/dx.
设函数y=f(x)由方程sin(xy)+e^(x+y)=0确定,求dy/dx
设函数y=y(x)由方程y+e^(x+y)=2x确定,求dx/dy
函数 y=y(x)由方程e x平方 - e y平方 - xy = 0确定,求dy/dx
函数y=y(x)由方程e^x - e^y - xy =0 确定, 求dy/dx .
设隐函数y=y(x)由方程x^y-e^y=sin(xy)所确定,求dy
设y=y(x)由方程e^xy+sin(xy)=y确定,求dy/dx.
设函数y=f(x)由方程x+y=e^y确定,求dy/dx
由方程x+e^(x²+y)+cos(y/x)=0确定的函数y=y(x),求dy/dx...
求由下列参数方程,确定的函数y=y(x)的导数dy/dx.
若y(x)是方程e^y=xy所确定的函数,求dy/dx?
y=3^sinx,求dy/dx Y=e^2x sin^3x求dy 求方程e^y=xy确定的隐函数y=y(X)导数(e^y