高数,参数方程求导,题目如图圈起来的,请问答案对吗?

2025-04-08 22:52:58
推荐回答(3个)
回答1:

如图所示

回答2:

x=t-sint
dx/dt =1 - cost
y=1-cost
dy/dt = sint
dy/dx = (dy/dt)/(dx/dt) = sint/(1-cost)
d/dt(dy/dx)
= [ cost. (1-cost) -sint.(sint) ]/(1-cost)^2
=(cost -1)/(1-cost)^2
=-1/(1-cost)
d^2y/dx^2
=d/dt(dy/dx) /(dx/dt)
=-1/(1-cost)^3

回答3:

由y'求y'似乎不对,也看不出你怎么求出来的