tan的导数是怎么算的

Question

如题所述

Answer 1

tanx的导数可以用函数的四则运算求导法则来求

Answer 2

tan(arctan(a/b)) = a/b
tan(arctan(b/a)) = b/a =1/ctg(arctan(b/a))
ctg(arctan(b/a)) =tan(arctan(a/b))
根据诱导公式arctan(b/a) + arctan(a/b) = pi/2
arctan(-b/a) = - arctan(b/a) = - pi/2 + arctan(a/b)

arctan(-b/a) = - pi/2 + arctan(a/b)