Z = (u ^ 2) V, u = e ^ t, v = cost, find DZ / DT

Z = (u ^ 2) V, u = e ^ t, v = cost, find DZ / DT

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)

Elden Ring Premiere

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