设X=a(t-sint) Y=a(1-cost) ,求d^2y/dx^2答案是-1/a(1-cost)^2

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设X=a(t-sint)Y=a(1-cost),求d^2y/dx^2答案是-1/a(1-cost)^2设X=a(t-sint)Y=a(1-cost),求d^2y/dx^2答案是-1/a(1-cost)

设X=a(t-sint) Y=a(1-cost) ,求d^2y/dx^2答案是-1/a(1-cost)^2
设X=a(t-sint) Y=a(1-cost) ,求d^2y/dx^2
答案是-1/a(1-cost)^2

设X=a(t-sint) Y=a(1-cost) ,求d^2y/dx^2答案是-1/a(1-cost)^2
不好意思,计算失误,重新计算了一遍.
dy/dt=asint
dx/dt=a(1-cost)
dy/dx=(dy/dt)/(dx/dt)=sint/(1-cost)
d(dy/dx)/dt=(cost-1)/(1-cost)^2
(d^2y)/(dx^2)=[d(dy/dx)/dt]/(dx/dt)=[(cost-1)/(1-cost)^2]/a(1-cost)=-1/a(1-cost)^2