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分段函数分段点导数应该这么求 | 左右导数存在且相等
在这个视频中, 我们讲解了两道分段函数在分段点处的导数值. 求分段函数分段点的导数, 应该根据定义求得左右导数. 在求导数过程中, 要注意 f(0) 是固定的定义值; 而 f(x) 表达式会根据左右极限不同, 或是极限值不一样.
高等数学(上)习题集70/264
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App11:09![[105] 想凑微分? 得先熟悉函数的导数.](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/8e2d23f4de434840a1b67605879ffc0e~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202411060501506B54D973A484675700DB&requestFrom=704&version_code=80402&x-expires=1762376511&x-signature=aYflZjdOQN2a15WwuAbUjOek%2FJU%3D)
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App02:49![[107] 利用已知函数的导数凑微分](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/4918ebba85414bc086c4fc1ee73c0f0c~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202411060501506B54D973A484675700DB&requestFrom=704&version_code=80402&x-expires=1762376511&x-signature=JZzUYToxjh1hRHaLUuKGybP42M0%3D)
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App03:17![[109] 半角代换求不定积分](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/0292a09e40964315adb611437e1d68cd~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202411060501506B54D973A484675700DB&requestFrom=704&version_code=80402&x-expires=1762376511&x-signature=R%2Bu4SxZQbRZTh0iIBDEhbcM2oKQ%3D)
App02:59![[111] 分部积分法+三角恒等式](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/f3caaa4dce0c43deb5b550bbad82b1b9~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=202411060501506B54D973A484675700DB&requestFrom=704&version_code=80402&x-expires=1762376511&x-signature=YFXAahZV2qcG428EjX64k1iWXH4%3D)
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