求导数s=acos²（2wt+p）注：w和p是数学单位我打不出来只能用比较像的来代替他们都是常数）

Answer 1

s =acos(p + 2*t*w)^2
s' = -(4*w*acos(p + 2*t*w))/(1 - (p + 2*t*w)^2)^(1/2)
s'' = - (8*w^2)/((p + 2*t*w)^2 - 1) - (8*w^2*acos(p + 2*t*w)*(p + 2*t*w))/(1 - (p + 2*t*w)^2)^(3/2)
s''' =(48*w^3*(p + 2*t*w))/((p + 2*t*w)^2 - 1)^2 - (16*w^3*acos(p + 2*t*w))/(1 - (p + 2*t*w)^2)^(3/2) - (48*w^3*acos(p + 2*t*w)*(p + 2*t*w)^2)/(1 - (p + 2*t*w)^2)^(5/2)