函数u^2lnv,u=x/y,v=3x-2y

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函数u^2lnv,u=x/y,v=3x-2y
函数u^2lnv,u=x/y,v=3x-2y

函数u^2lnv,u=x/y,v=3x-2y
z=u^2lnv,u=x/y,v=3x-2y
ðz/ðx=(ðz/ðu)*(ðu/ðx)+(ðz/ðv)*(ðv/ðx)
=2ulnv*(1/y)+(u^2/v)*3
=2(x/y^2)ln(3x-2y)+3x^2/[y^2(3x-2y)]
ðz/ðy=(ðz/ðu)*(ðu/ðy)+(ðz/ðv)*(ðv/ðy)
=2ulnv*(-x/y^2)+(u^2/v)*(-2)
=-(2x^2/y^3)ln(3x-2y)-2x^2/[y^2(3x-2y)]