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sec^2(X/(X+1))的微分是什么?

题目详情
sec^2 (X / (X + 1)) 的微分是什么?
▼优质解答
答案和解析
d(sec^2 (X / (X + 1)))
=2sec(x/x+1)(sec(x/x+1))′
=2sec^2(x/x+1)*tan(x/x+1)*(x/x+1)′
=2sec^2(x/x+1)*tan(x/x+1)*(1/(x+1)(x+1))dx