求隐函数的导数?1 y=x+ 1/2iny2 2^x+2y=2^x+y3 x=y+arctany

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求隐函数的导数?1y=x+1/2iny22^x+2y=2^x+y3x=y+arctany求隐函数的导数?1y=x+1/2iny22^x+2y=2^x+y3x=y+arctany求隐函数的导数?1y=x

求隐函数的导数?1 y=x+ 1/2iny2 2^x+2y=2^x+y3 x=y+arctany
求隐函数的导数?
1 y=x+ 1/2iny
2 2^x+2y=2^x+y
3 x=y+arctany

求隐函数的导数?1 y=x+ 1/2iny2 2^x+2y=2^x+y3 x=y+arctany
1.d/dx(y-x-1/2lny)=dy/dx-1-dy/dx*1/(2y)=0
(1-1/2y)dy/dx=1
dy/dx=2y/(2y-1)
2.此题错
3.1=y"+1/(1+y^2)y"
y"=(1+y^2)/(2+y^2)
注:y"=dy/dx
(arctany)" =1/(1+y^2)y"