Question

高等数学求二阶导数

详细过程

Answer 1

先求一阶导数，然后要求芹让这个一阶导数的导数再激基与x'(t)的商，明首谨y"(x)即d2y/dx2, 是同一个东西.

Answer 2

这里考察参数方程确定的函数得求答唯搏槐导问题。对于dy/dx＝(dy/dt)/(dx/dt)这是一阶导的求导公式。二清银培阶导数也有相应得公式，详细的过程参考下图

Answer 3

未完姿耐余待迹滚亩物续

追答

Answer 4

y'=dy/dx=(dy/dt)/(dx/dt)

d²y/dx²=dy'/dx=(dy'/dt)/(dx/dt)
dy/dt=3asin²tcost
dx/dt=-3acos²tsint
y'=-sint/cost=-tant
dy'/高则举dt=-1/cos²t
d²y/戚碧dx²盯尘=1/(3acos²tcos²tsint)

Answer 5

x = a(cost)^3, y = a(sint)^3
dy/dx = (dy/dt)/(dx/薯空dt) = 3a(sint)^2cost/[3a(cost)^2sint] = tant
d^2y/dx^2 = d(dy/dx)/dx = [d(dy/dx)/数扒瞎此键dt]/(dx/dt) = (sect)^2/[3a(cost)^2sint]
= 1/[3sint(cost)^4]