Z=f(x,y)=3xy^2+2x,x(t)=-3t^2,y(t)=4t^3+t,求dz/dt,

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Z=f(x,y)=3xy^2+2x,x(t)=-3t^2,y(t)=4t^3+t,求dz/dt,
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Z=f(x,y)=3xy^2+2x,x(t)=-3t^2,y(t)=4t^3+t,求dz/dt,
Z=f(x,y)=3xy^2+2x,x(t)=-3t^2,y(t)=4t^3+t,求dz/dt,

Z=f(x,y)=3xy^2+2x,x(t)=-3t^2,y(t)=4t^3+t,求dz/dt,

将x(t)=-3t^2, y(t)=4t^3+t代入Z,可得到:Z=f(x,y)=3*(3t^2)[(4t^3+t)^2]+2(-3t^2)= -144t^8-72t^6-9t^4-6t^2(如果没算错的话,O(∩_∩)O~)再求 dz/dt=Z'= -1152t^7-432t^5-36t^3-12t 就行了