arctanx^2求导的详细过程它不应该是2arctanx·1/1+x^2·2x的吗,
问题描述:
arctanx^2求导的详细过程
它不应该是2arctanx·1/1+x^2·2x的吗,
答
y = arctan(x^2)
tany =x^2
(secy)^2.y' =2x
y' = 2x/(1+x^4)
y = (arctanx)^2
y' = 2(arctanx)/(1+x^2)