求下列式子dy/dx (1) x^2y-x+y=0;(2) x√y =y-11

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求下列式子dy/dx(1)x^2y-x+y=0;(2)x√y=y-11求下列式子dy/dx(1)x^2y-x+y=0;(2)x√y=y-11求下列式子dy/dx(1)x^2y-x+y=0;(2)x√y

求下列式子dy/dx (1) x^2y-x+y=0;(2) x√y =y-11
求下列式子dy/dx (1) x^2y-x+y=0;(2) x√y =y-1
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求下列式子dy/dx (1) x^2y-x+y=0;(2) x√y =y-11
(1)两边对x求导,得2xy+x^2*dy/dx-1+dy/dx=0,所以dy/dx=(1-2xy)/(1+x^2)
(2)两边对x求导,得√y+x*1/(2√y)*dy/dx=dy/dx,所以dy/dx=√y/(1+x/(2√y))=y/[(√y)+x/(2y)]