函数y=sec2x导数y&39;=sec2xtan2xx2=2sec2xtan2x二阶导数y&39;&39;=2x(sec2x*2tan2x+sec2x*sec^22x*2)=2x(2sec2x。y sec2x的导数?更多详情请大家跟着小编一起来看看吧!

y sec2x的导数(1)

y sec2x的导数(1)

函数y=sec2x

导数y'=sec2xtan2xx2=2sec2xtan2x

二阶导数y''=2x(sec2x*2tan2x+sec2x*sec^22x*2)

=2x(2sec2xtan2x+2sec^32x)

=4x(sec2xtan2x+sec^32x)

三阶导数

y'''=4x((2sec2xtan2x+2sec^32x)+3sec^22x*sec2xtan2x*2)

=8x(sec2xtan2x+sec^32x+3sec^32xtan2x)

=8sec2x(tan2x+sec^22x+3sec^22xtan2x)