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大学数学基础：34.[6.5.4]间断点
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![大学数学基础：33.[6.5.3]分段函数连续性](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/4788703c984e48cdb07dc929598cf913~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=xjvRAna9pJGt4fDu9gVpfG7e4lU%3D)
App06:18![大学数学基础：34.[6.5.4]间断点](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/af3b311b4fd043f99e24da9527f497a9~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=fF0sRQ%2FkvjcH3%2FUNQ1iRWtS8Jpo%3D)
App04:30![大学数学基础：35.[6.5.5]根的存在定理](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/4eb1c69ab54c469bb68d111faa021789~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=MU%2BDGgDgyavb2poCBvPNJ8bDDww%3D)
App04:10![大学数学基础：36.[6.5.6]分段函数的连续性](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/db354e2b37da4dee8c67f7ed0004e0e5~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=%2F4%2FWl6t2MPUk%2BqB26zIFtmHftvk%3D)
App03:33![大学数学基础：37.[6.5.7]利用极限存在性求参数](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/c24e5390a3f340fba901406dff2e6748~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=I%2Bb1q%2FHJGoLyFKK9WCN62yGXiss%3D)
App03:25![大学数学基础：38.[6.5.8]第一重要极限](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/5ed5c4c542464acca2ebfa61db2e53d4~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=iqZOZ1DMl3jJUcu0qHIVcGd%2FXLg%3D)
App03:51![大学数学基础：39.[6.5.9]极限的四则运算法则（有理化）](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/f0638229e38a4e5b81400d41b64f7a35~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=kC3oIYQVG5CJbIUZtE3CgjIGFqE%3D)
App03:40![大学数学基础：40.[7.1.1]导数定义(1)](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/aed2196d46474e949f7ec034f9cc20f0~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=6odw5qJ2aDwkXwO8LlzOoao2x2E%3D)
App10:26![大学数学基础：41.[7.2.1]导数定义(2)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/0698666009594ea4abed85602192395e~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=Fp%2BjpD0ybg1WuvqmBZygZ6G66nU%3D)
App08:31![大学数学基础：42.[7.3.1]求导的四则运算法则](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/66c7ea20fafa4c399d4ad91fab5e980d~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=hYhXcIJ4aftLEkItDtK%2BTiGrNTE%3D)
App20:40![大学数学基础：43.[7.4.1]高阶导数](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/f9c5f0e69c34467db79e3aa8b801d896~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=ZklsdMw0OW%2BwzplLNdlYoDOZDxc%3D)
App15:00![大学数学基础：44.[8.1.1]隐函数的导数](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/7c7b37b207c94a14832fce9807c1ad00~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=FbZYXoezctgh0Lx4uqLavRvXZzs%3D)
App11:57![大学数学基础：45.[8.2.1]参数方程确定的函数的导数](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/79815cb5422245f6aa2036d5bf302343~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=bwnO4fzHpV2Kbi8yOI0UV127bY4%3D)
App11:21![大学数学基础：46.[8.3.1]微分](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/bbb9bf4e0e3343ce9d9c5215e36d4684~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=sPNiK5I4whdtCqqlDHzjOz9%2FxE8%3D)
App18:52![大学数学基础：47.[8.4.1]导数定义（一）](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/a48f71466aba4cb080e057f01da41a25~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=QAVp5X9C%2Bs241cI5hlxipDMO9lY%3D)
App08:00![大学数学基础：48.[8.4.2]左右导数](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/fc5d44fe6ac14fd18f6842d29e41b467~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=uc4%2B4s8Kvu4jkaUJaz%2Fy9Ci9Uuo%3D)
App04:22![大学数学基础：49.[8.4.3]参数方程求导](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/0c1fc92894594ee99093f282ca8ffd77~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=WYwAjtPvXjZHPHe3r24zJPer19A%3D)
App04:27![大学数学基础：50.[8.4.4]导数定义（二）](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/f039193fb5f541918b22170cf90d23c3~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=6mh%2FyTHSD4aFEp9cTmL01vKtl4I%3D)
App03:41![大学数学基础：51.[8.4.5]导数定义（三）](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/1bf26d76967943a7a28991e591be48c7~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=pqhM3a2cgwtffL9R9hIB1AFkv0A%3D)
App03:41![大学数学基础：52.[8.4.6]隐函数求导求切线和法线方程](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/ed990a4e4499480cb9718b73d1f011d4~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=8HzNa0pMLFrd70vWG0QFfXexT7g%3D)
App04:10![大学数学基础：53.[8.4.7]抽象复合函数求微分](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/d7975a93b23e419f86af3c05b99ba855~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=5fOpb0LuDUzLnwOB3ewdZ3qC%2FxE%3D)
App04:55![大学数学基础：54.[8.4.8]抽象参数方程求导](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/8b097761a87449048fd3ca5740343cc4~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=2%2B24rIHIpHHXByC356%2Ftbxqw8a0%3D)
App02:34![大学数学基础：55.[8.4.9]隐函数求导](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/3a36316c0f98417bb34df4b617571aad~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=xWJ%2B40bf%2Bcjm1yfl%2FPc92steBug%3D)
App03:15![大学数学基础：56.[8.4.10]导数定义（四）](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/7b33861ac1f44e41b44109f2baadf977~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=d%2FJBZ%2BKcf%2Fqf5G%2FcT78tEsA5MbI%3D)
App04:26![大学数学基础：57.[8.4.11]利用参数方程求导求切线方程](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/cdf99ecd44544dffac8ef0ed48f82690~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=vQQ6GWHmUSZk%2F3Is%2BTTCzUgZO8o%3D)
App02:34![大学数学基础：58.[8.4.12]可导与连续的关系](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/09696ebd275e4c64bc5532491e6e74ac~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=Yjwn1gHKvCf5MF1eaiwxvbSVh7U%3D)
App05:50![大学数学基础：59.[8.5.1]第九讲导数与微分拓展题](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/6536e6931a9941199a8dead1e489e651~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=389wWspO3wuC94edGr79uSBMjDg%3D)
App14:21![大学数学基础：60.[8.6.1]第十讲微分的应用](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/bee055540f664072bead598cf8d4b3f3~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=4vRc5Oi4GbrpOSH%2B1Rua5GTqKYQ%3D)
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App16:28![大学数学基础：63.[9.3.1]柯西中值定理](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/f288c4b976a54892a97e8963f6969399~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250313151318057232E616A7856DD4A6&requestFrom=704&version_code=80402&x-expires=1773385999&x-signature=d0oHCtcQ%2F0HNsFjqb1bYBPhm2ok%3D)
App10:28
