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大学数学基础：76.[10.5.8]最值的应用
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![大学数学基础：75.[10.5.7]洛必达法则（无穷-无穷）](http://p3-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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=UaB9%2BXi1eO8xzGG45YLFBAI08wQ%3D)
App03:44![大学数学基础：76.[10.5.8]最值的应用](http://p3-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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=T6miJx7fv7eS7EMFmtWe0daR2Yg%3D)
App04:13![大学数学基础：77.[10.5.9]利用单调性证明不等式](http://p3-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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=fu8BFGoosQD4ArtKvoaNOuSiEfA%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://p26-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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=UyveQPht4mG5aLOdb777RIlhjdk%3D)
App03:48![大学数学基础：79.[10.5.11]洛必达法则（00）](http://p3-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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=rXDQYZ1XrFO7JDuC1SWj5BzUrtQ%3D)
App03:40![大学数学基础：80.[10.5.12]导数在经济上的应用](http://p26-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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=cXEWjfVpP73JhziRiXiSsVxBqZU%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://p3-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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=0d9bEmbE%2BmJvS8a4xosBsGP5hR4%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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=nd4uI1eaeS8RzbCcdfLKG91ETqU%3D)
App11:31![大学数学基础：83.[11.2.1]不定积分的第一换元法](http://p26-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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=4GX9ltwC5sUCs20sLYikQabATA8%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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=wYwkUUW2kzhbTfLdLzqK61LH1%2Fc%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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=DhkEVdL55SFxFx5tuY%2Fp4DTwON4%3D)
App13:50![大学数学基础：86.[11.4.2]不定积分的分部积分法1](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/589df873d0c240a8ba08ee5c7860a100~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=LDdUYREm5nffE1jkvcPA2DDqbAc%3D)
App06:13![大学数学基础：87.[11.5.1]几种特殊类型的不定积分](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/018f0439c3334f31aee47f41038c403a~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=JTZmzGRcIcRe09UyqoUgtbu%2BkRE%3D)
App14:52![大学数学基础：88.[11.6.1]原函数](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/34d17c1acbd3474bb06a87fe55ae319f~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=yYeSmSu%2FEzH4n8PxzB6C%2Fc0G8l4%3D)
App02:41![大学数学基础：89.[11.6.2]不定积分计算(分部积分法)](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/c3435563620443a98bcd844dda6248c7~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=bYwz1sygNeXCpHtpum0yjk%2FeCxU%3D)
App05:31![大学数学基础：90.[11.6.3]不定积分计算(换元法+分部积分法)](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/002d3ab076bf418dbc161e0a4e2b022f~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=WLHXDLABiI7giT3yIoGyNA1MJrU%3D)
App03:54![大学数学基础：91.[11.6.4]不定积分计算（第二类换元积分法）](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/555c098bc2804766b21f416987bf22b4~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=GbKpa%2FC%2BMU504I6Fl%2BO1yO1P7dc%3D)
App04:25![大学数学基础：92.[11.6.5]不定积分的概念与性质](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/bda1b203a7f541d39ce4dcd95b4b9846~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=QnLw%2FbLkmzS2qt%2F8dEk4yDtT86A%3D)
App03:21![大学数学基础：93.[11.7.1]第七讲不定积分拓展题](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/7c80af59c894457c8ea74295077b50cc~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=3J18nGYwWREP%2Fmdg%2FA532BjJBlU%3D)
App19:33![大学数学基础：94.[12.1.1]定积分的概念与性质](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/677eb610a8904f98af8f93e440c87876~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=%2FAxk2uDtMiuRW6WyVJhwje0tw7A%3D)
App15:36![大学数学基础：95.[12.2.1]积分上限函数求导](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/f33c50a74bd246ada596929759f0c28d~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=xl8IBOsimKy%2BIMLNxpVrfXvDDVo%3D)
App08:36![大学数学基础：96.[12.3.1]微积分基本定理](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/c7a4f9c08334425fb5038ab4df65d4b0~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=Q4dO7PsKH0aOYniUdblWAY3HvTg%3D)
App12:35![大学数学基础：97.[12.4.1]定积分的换元法(1)](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/7e4574390c7242e0b3301b9dfd1b682c~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=xBy7jQWMPponLWNSbC0OWIq6xt8%3D)
App11:31![大学数学基础：98.[12.5.1]定积分的换元法(2)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/4f1485afe13b4a4eb75fb92e7e2e7b73~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=vfN%2BF6no3Ok7%2FFAvbM4Sj4pzS%2BE%3D)
App10:05![大学数学基础：99.[13.1.1]定积分的分部积分法](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/d69f2d393aef4715b8620a1282c082e1~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=ZGGGUPwtLyJkXYLyL3iSrSIVxMc%3D)
App08:58![大学数学基础：100.[13.2.1]广义积分(1)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/d1d8ce3c8f64401981a20a98aeb58b14~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=T83vGMOkTIAjRuA66f7aK6bIQ3s%3D)
App09:55![大学数学基础：101.[13.3.1]广义积分(2)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/f633462e2951470698cbadf8d5201c0d~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=%2B5PGvsIB0VsDgxSXpJ5XJ2%2BFQ2c%3D)
App11:56![大学数学基础：102.[13.4.1]求平面图形的面积](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/01a6ae99360c45c8b8fd69c2bf718648~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=ngu78WkQPrp0kt5bvM3Xor1K7R8%3D)
App20:08![大学数学基础：103.[13.5.1]求空间立体的体积](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/209152881ba1495c948eea2d456a2601~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=E%2Bzzv2KAcWVhU1t4IT5vkcMalbU%3D)
App09:06![大学数学基础：104.[13.6.1]积分中值定理+罗尔定理证明题](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/91c22164a97e41d6a614f93c9559f909~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=IZaT5sdJdIKO3zRAW9MGhEwMGH8%3D)
App04:14![大学数学基础：105.[13.6.2]利用定积分的分部积分公式计算](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/e6df8cb723b5456c99d071eb08943132~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=20250313195853553F15A0518E895F62EB&requestFrom=704&version_code=80402&x-expires=1773403133&x-signature=BRTo3PIvnUgf3tuhFHfBnJDqN8E%3D)
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