arctanx的导数怎么求

y=arctanx,则x=tanyarctanx′=1／tany′tany′=(siny/cosy)′=cosycosy-siny(-siny)/cos²y=1/cos²y则arctanx′=cos²y=cos²y/sin²y+cos²y=1/1+tan²y=1/1+x²故最终答案是1/1+x²希望能帮到你，现在小编就来说说关于arctanx的导数怎么求?下面内容希望能帮助到你，我们来一起看看吧!