z=(u^2)v,u=e^t,v=cost,求dz/dt
z=(u^2)v,u=e^t,v=cost,求dz/dt
其他人气:388 ℃时间:2020-05-10 04:58:43
优质解答
dv=dcost=-sintdt du=d(e^t)=e^tdt dz=d((u^2)v)=(u^2)dv+vd(u^2) =(u^2)dv+2uvdu =u^2(-sint)dt+2uve^tdt =-e^(2t)sintdt+2e^(2t)costdt =e^(2t)(cost-sint)dt dz/dt=e^(2t)*(cost-sint)
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