对于x=cos(y/x),求dy/dx.

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对于x=cos(y/x),求dy/dx.对于x=cos(y/x),求dy/dx.对于x=cos(y/x),求dy/dx.∵x=cos(y/x)==>1=-sin(y/x)*(xy''-y)/x^2(等式

对于x=cos(y/x),求dy/dx.
对于x=cos(y/x),求dy/dx.

对于x=cos(y/x),求dy/dx.
∵x=cos(y/x)
==>1=-sin(y/x)*(xy'-y)/x^2 (等式两端对x求导)
==>xy'-y=-x^2/sin(y/x)
==>xy'=y-x^2/sin(y/x)
==>y'=y/x-x/sin(y/x)
∴dy/dx=y'=y/x-x/sin(y/x).