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大学数学基础：56.[8.4.10]导数定义（四）
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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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=jB%2FXvab6pwZ0iKQR%2B0%2FMIP4oOYA%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://p3-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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=iXxIAKIZ4kyTXWZMKUNCbO%2FdeWU%3D)
App02:34![大学数学基础：58.[8.4.12]可导与连续的关系](http://p3-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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=qpPvqVxyE0SxRIbcwIr5DF1ZjQY%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://p3-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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=srmqBFAyjTMMRyEZRs85AroFguw%3D)
App14:21![大学数学基础：60.[8.6.1]第十讲微分的应用](http://p26-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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=%2Bgrsy6Z5b%2FvKz5saHx%2FhEnyUIII%3D)
App11:58![大学数学基础：61.[9.1.1]罗尔定理](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/8bf8955f9fa74283982a2b23c16001eb~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=wQa7o5jBBG8w%2FNwIOJq9%2FKkrRpQ%3D)
App10:01![大学数学基础：62.[9.2.1]拉格朗日中值定理](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/d97adcdc9eab422dbe9ae4c98a15bbf3~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=r%2FZVpKVSkbd4eDyVRZLJ0UmMdRs%3D)
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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=%2FNc9XT67y%2BKpEH%2FEDYe23Z5CziM%3D)
App10:28![大学数学基础：64.[9.4.1]洛必达法则(1)](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/67b4117d53e64601bf7874ba997ede69~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=hnvAWzHYCboUJWPKcm%2BSw%2BZVbaI%3D)
App10:47![大学数学基础：65.[10.1.1]洛必达法则(2)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/2d1a9909e6524cf3a8d74f0980aa9f4f~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=joHzKSQgp4CaIu3lxnCmcZw987w%3D)
App10:27![大学数学基础：66.[10.2.1]泰勒中值定理](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/c502cea7c1b241baa34027c7c703ed83~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=tw3GAFoJcE8P3vEU%2FX26kEcdhu8%3D)
App21:10![大学数学基础：67.[10.3.1]函数的单调性、极值和最值](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/8d9d8d396747443597a62623b29fe37e~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=TXZh26A2yuUqlNX2SZ5PP1OA0pc%3D)
App17:10![大学数学基础：68.[10.4.1]曲线的凹凸性、渐近线](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/ccc1ae9cffcd4edc87d75342ea0229c0~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=EsBWHxW4av%2BF%2BvGnmE81ItqzcYQ%3D)
App17:35![大学数学基础：69.[10.5.1]使用罗尔定理证明根的存在](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/fe90316725fa4cbb9faa2421881b955c~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=%2FCzEjGf9kQITuu%2B%2BF%2BBLuwFzDJ4%3D)
App04:37![大学数学基础：70.[10.5.2]利用拉格朗日定理证明不等式](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/441d2b91c2654e0593053815cc43df6e~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=ZsCKMSudyAjGdnNhQU9fp%2B0t2lQ%3D)
App04:52![大学数学基础：71.[10.5.3]洛必达法则(无穷-无穷)](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/11c3a79ed968438fab7136614867c8db~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=nOd05B%2Bx4l%2BzICRTst8R%2FhOyvI0%3D)
App02:56![大学数学基础：72.[10.5.4]最值应用题](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/d52bde10a24440cfa57aefa332fa044e~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=iNDCBE81yaNjcA%2FCBkzj4EMv%2FBw%3D)
App03:09![大学数学基础：73.[10.5.5]洛必达法则（00）](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/ca1f93f52f67493db6e7aca58968bcc8~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=n0fRsDfxnRkWb%2FWZJCTvo9an7hY%3D)
App03:51![大学数学基础：74.[10.5.6]求拉格朗日中值定理的中值（一）](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/1612cacd41ee4220a4a0b176b2fb2a82~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=pid5KlNRqiZjw2Cyyx1uOZrsKYw%3D)
App06:15![大学数学基础：75.[10.5.7]洛必达法则（无穷-无穷）](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/ca18f319e00a47158fce234daf52cd84~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=C91yt1vqhaZK50qX6Z%2BRNFihTjI%3D)
App03:44![大学数学基础：76.[10.5.8]最值的应用](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/24372c2d0c2c44c68c7c8394c1936cc8~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=Pqe7bIA%2FxMRrr3Ku6yzzHh7UXkU%3D)
App04:13![大学数学基础：77.[10.5.9]利用单调性证明不等式](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/67a44d9e2cb84b8d8f2cac247450b6e8~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=RFwUY78AmjAiKjQn4J0Lu4m3vTA%3D)
App03:03![大学数学基础：78.[10.5.10]利用罗尔定理证明跟的存在性](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/3f0e2d342970405aa025d5499448c954~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=d0P9BWTt8qj2LRllZMvIGcsC4HI%3D)
App03:48![大学数学基础：79.[10.5.11]洛必达法则（00）](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/45685633e1514681bff2c29a41e9f204~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=8lcrgBjDSctOrdo1H3dOoftHWd4%3D)
App03:40![大学数学基础：80.[10.5.12]导数在经济上的应用](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/7dc0ea55bca94610979bce8f4cab7705~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=uPN%2B0CZvyJWUmoPpuIM5qE8Mma8%3D)
App03:23![大学数学基础：81.[10.5.13]求拉格朗日中值定理的中值（二）](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/856d899d57a4471f9fb0afe472fb5bd9~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=xDJHatyY5cR1spDxqYpKwGSAGRE%3D)
App02:50![大学数学基础：82.[11.1.1]不定积分的定义与性质](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/6b1ec56e71ed4ab1abb21ec69cf5964a~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=Odavym7VY3Oeng1zkvs%2BYm%2BNAw4%3D)
App11:31![大学数学基础：83.[11.2.1]不定积分的第一换元法](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/eabdf51d07fb45bfbbb032582f25a032~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=pEdcICwHc045cF6Gg4cEB8E%2B4k4%3D)
App21:39![大学数学基础：84.[11.3.1]不定积分的第二换元法](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/029683548b31420ca6f169bf2ec2b339~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=WMSr9sbNP0anVET3D2Dssrd7tn0%3D)
App13:17![大学数学基础：85.[11.4.1]不定积分的分部积分法](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/6cd6f4d914404694b2e0f0378d3bb96e~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=20250313184527D38BD358D80A05B9C833&requestFrom=704&version_code=80402&x-expires=1773398727&x-signature=qVpZFfTncGF1RnzuWk7SF6g1kuA%3D)
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