设x=2t^2,y=3t^3,则dy/dx=

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设x=2t^2,y=3t^3,则dy/dx=设x=2t^2,y=3t^3,则dy/dx=设x=2t^2,y=3t^3,则dy/dx=x=2t^2,y=3t^3则t=(x/2)^(1/2)=(y/3)(

设x=2t^2,y=3t^3,则dy/dx=
设x=2t^2,y=3t^3,则dy/dx=

设x=2t^2,y=3t^3,则dy/dx=
x=2t^2,y=3t^3
则t=(x/2)^(1/2)=(y/3)(1/3),
则3(x/2)^(3/2)=y
dy/dx=3d(x/2)^(3/2)=3*(3/2)*(x/2)^(1/2)d(x/2)=(9/2)(x/2)^(1/2)*1/2=(9/4)(x/2)^(1/2)