微积分given x^2=3y+xIn(y),find dy/dx,感激不尽..T-T

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微积分given x^2=3y+xIn(y),find dy/dx,感激不尽..T-T

微积分given x^2=3y+xIn(y),find dy/dx,感激不尽..T-T
微积分given x^2=3y+xIn(y),find dy/dx,感激不尽
..T-T

微积分given x^2=3y+xIn(y),find dy/dx,感激不尽..T-T
两边取对数
2x=3*y'+lny+x/y *y'
2x-lny=(3+x/y)y'
y'=dy/dx=(2xy-ylny)/(x+3y)

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原式求导为:2x=3dy/dx+lny+(x/y)*dy/dx。
dy/dx=(2x-lny)/(3+x/y)

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