x=acos³x y=asin³t 求d²y/dx²
问题描述:
x=acos³x y=asin³t 求d²y/dx²
答
这是参数方程求导:
x'=-3asintcos^2t
x''=-3acos^3t+6asin^2tcost
y'=3asin^2tcost
x''=-3asin^3t+6asintcos^2t
d²y/dx²=(x'y''-x''y')/(x')^3
代入即可.