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大学数学基础：70.[10.5.2]利用拉格朗日定理证明不等式
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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://p3-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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=Yk2IBjccb53UKX3xlbt2E0Jg3PI%3D)
App04:52![大学数学基础：71.[10.5.3]洛必达法则(无穷-无穷)](http://p3-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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=Vmwz4hstvo7c5CbJ%2B6ZEv%2BorTc0%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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=Ys%2B2OjeTlFJwYef5OokeNV0kzHI%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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=u%2FQNWC6tybVOuazV1whyy5dL%2FaQ%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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=EwcAGv17sJKOKHDE5XguNr94PL8%3D)
App06:15![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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=Q3YvZsHajpGIZRxrRvu2lH2Ni20%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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=UnTeFIqcY27zBnYLxcTONe5hlAM%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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=qMoBiPrPYjurU68QDuAIOgS3hyM%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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=EpZVoUS%2F5T51I5SmzDMQouui81k%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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=B6TDgnrF%2F7sH1H86dYtSbgVjjoo%3D)
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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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=TydhEzooiWPJSrDMfPDL2Q1oiAQ%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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=y9TusexNUTgOJkhrts1EaBIXISk%3D)
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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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=YAukutx3oY5ki0ZDXWCO91%2BwTMM%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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=6minRwv8pMALDa7HlxVoAKOVO1s%3D)
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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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=7DXGfI6eG5dUYic4rWxlomFQKAA%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://p3-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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=bJ6fBydsRL9RG40WH4lpJxn8CMU%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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=iw%2Bfjjv1%2BqSncXSazscE58Zq3zo%3D)
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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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=PVGWA3Kr9SQwyrqVjIJOnILHPF8%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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=K4VwuLYIqE5rvcQ30ZicnJ9ENKI%3D)
App08:36![大学数学基础：96.[12.3.1]微积分基本定理](http://p26-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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=g7hO6wtqQOUwCVg03P%2Bz72o6DV4%3D)
App12:35![大学数学基础：97.[12.4.1]定积分的换元法(1)](http://p3-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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=%2B325lPz8LwejJ8SCyZU9zqwjsYY%3D)
App11:31![大学数学基础：98.[12.5.1]定积分的换元法(2)](http://p26-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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=XQJdUd6dBm2z1OvWkL3kib%2BYS9Y%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=2025031320023431B9BDDEA7201E59D3ED&requestFrom=704&version_code=80402&x-expires=1773403355&x-signature=SB1jxCg8fIjllFnE6B2aC8TwQek%3D)
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