Question

求下列参数方程所确定的函数的导数

Answer 1

1)dx/dt=lnt+t/t=lnt+1

dy/dt=(t/t-lnt)/t^2=(1-lnt)/t^2

dy/dx=(dy/dt)/(dx/dt)=(1-lnt)/[t^2(1+lnt)]

2)dx/dt=cost-tsint

dy/dt=sint+tcost

dy/dx=(dy/dt)/(dx/dt)=(sint+tcost)/(cost-tsint)