## 导数
dy/dx=(dy/dt)/(dx/dt)
=5(1+cost)/[5(cost-cost+tsint)]=(1+cost)/(tsint)
d^2y/dx^2=[d(dy/dx)/dt]/(dx/dt)=
[(-sint)(tsint)-(1+cost)(sint+tcost)/(tsint)^2]/[5(cost-cost+tsint)]
=[(-sint)(tsint)-(1+cost)(sint+tcost)/(tsint)^2]/(5tsint)
=-(t^2+sint+sintcost+tcost)/[5(tsint)^3]
带入t=π/2
=(π^2/4+1)/(5π^3/8)
=(2π^2+8)/(5π^3)
如图
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