sec(x)的导数=sec(x) tan(x)

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/05 17:25:29
sec(x)的导数=sec(x) tan(x)
x)+NM֨|>=ϦnJMR>v6ěna_ djm3Aj@qF0H c` cCm Ns2`] R3NCYgÓK5@J5Ԃ+0҄nlhna] t +$Q+ VÝ[ ; a:laRz(7T

sec(x)的导数=sec(x) tan(x)
sec(x)的导数=sec(x) tan(x)

sec(x)的导数=sec(x) tan(x)
sec(x)'=(1/cos(x))'
=sin(x)/cos^2(x)
=sin(x)/cos(x) * 1/cos(x)
=tan(x) * sec(x)

secx=1/cosx=(cosx)^(-1)
所以(secx)'=-1*(cosx)^(-2)*(cosx)'
=-1/cos²x*(-sinx)
=sinx/cos²x
=sinx/cosx*1/cosx
=tanxsecx

sec(x)'=[1/cos(x)]'=sin(x)/cos(x)^2=1/cos(x).sin(x)/cos(x)=sec(x) tan(x)