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国际课程提前学Alevel数学微积分4：二阶导数与函数凹凸性

今天的国际课程提前学，给大家带来的是：二阶导数与函数凹凸性，请大家一起来学习吧！（后附视频解读哦~）

The second derivative

二阶导数

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIYVddHdGbj7zibvkXCc3ic6NqvicdutibIeE2y5O4TPfNbbNEdxhRJkcuFsw/640?wx_fmt=png

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIYthaC6udrvy2iaLErFkZOB9xiaibF0rCS535nZTFLc1Fz8YgEP5yVDPDqw/640?wx_fmt=png

Concavity

凹凸性

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIYC5EwIMIdDCiaHZhiblibeiaTNZnd3zaBXMlicPvuzibbQsP8ZR3H9OQtQl4w/640?wx_fmt=png

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIYGup5q9u370nyNRG7YOtDtM6XZyqpUbVa6DQsicVY7Xoic34zEX9XtXQA/640?wx_fmt=png

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIY2fSmES45NrjoBNdFjXVnU0RSosiaSu8OPXMPyHoC31pBFP4S8gibYjyQ/640?wx_fmt=png

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIYlicDmAPA4icUFngHGiakYRJT5ibHzv5yBkWBWYC6cr647NPnJUTibmQgUSw/640?wx_fmt=png

Second Derivative Test

二阶导数测试

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIY5Ot7GhUmoLXRdFblMRt6s5xuk9uNqve68PtiayuoDNUUTxwfvCDz3vw/640?wx_fmt=png

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIY6c4F5BoKStNBsNLk5zC44ibnnVIA3UsHKRicmDPAmPASz68TVLJkibXcw/640?wx_fmt=png

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIY8LmibXma28I5OZ5xH1v4ezLGaznr3TnVmPcdenIgU72Jqd3TJibicmXlw/640?wx_fmt=png

常考题型讲解：

Example 1

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIY4ZVEOlZYdQukhwAx3DG6bUj7ugficriag48xA4XFBSQtibEhibBFrzSwrw/640?wx_fmt=png

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIYjZaquOofwNd1oZDAF3OsvJJibJsrY3AFnzZ4rWT3DGbCeNCtvVZu9HQ/640?wx_fmt=png

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIYkB6F6pHibtJ9t12EriaYqkk0MhQhGVWgXs6RfuxT60Hc30QeLXOaVxbA/640?wx_fmt=png

https://mmbiz.qpic.cn/mmbiz_png/y62uKLYkM8fqztSMCx5ok7cpFiahaibnIYYqPpntibjySFYH3kk6HpQldpu9aWsOhAudcotB8ia2rABMJ0y72fLEMA/640?wx_fmt=png


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