设f(x)=π/2+Arctanx,则f(x)的反函数,求解答
问题描述:
设f(x)=π/2+Arctanx,则f(x)的反函数,求解答
答
y=π/2+arcctanx
arctanx = y-π/2
x= tan(y-π/2)
=-coty
f(x)的反函数
f(x) =-cotx