高等数学相关概念学习
目录
- 高等数学
- 1.导数定义：
- 2.左右导数导数的几何意义和物理意义
- 3.函数的可导性与连续性之间的关系
- 4.平面曲线的切线和法线
- 5.四则运算法则
- 6.基本导数与微分表
- 7.复合函数，反函数，隐函数以及参数方程所确定的函数的微分法
- 8.常用高阶导数公式
- 9.微分中值定理，泰勒公式
- 10.洛必达法则
- 11.泰勒公式
- 12.函数单调性的判断
- 13.渐近线的求法
- 14.函数凹凸性的判断
- 15.弧微分
- 16.曲率
- 17.曲率半径
高等数学
1.导数定义：
导数和微分的概念
![[数学基础]高等数学相关概念学习_极值](https://s2.51cto.com/images/202207/24bf0964777431e24cd391d6bfa23dc56bffbe.png?x-oss-process=image/watermark,size_14,text_QDUxQ1RP5Y2a5a6i,color_FFFFFF,t_30,g_se,x_10,y_10,shadow_20,type_ZmFuZ3poZW5naGVpdGk=,x-oss-process=image/resize,m_fixed,w_1184)
![[数学基础]高等数学相关概念学习_极值_02](https://s2.51cto.com/images/202207/b17680383f7210cc325665e142e2dddae0ac83.png?x-oss-process=image/watermark,size_14,text_QDUxQ1RP5Y2a5a6i,color_FFFFFF,t_30,g_se,x_10,y_10,shadow_20,type_ZmFuZ3poZW5naGVpdGk=,x-oss-process=image/resize,m_fixed,w_1184)
![[数学基础]高等数学相关概念学习_邻域_03](https://s2.51cto.com/images/202207/593e68f14439d64990d0168015a97de4769d97.png?x-oss-process=image/watermark,size_14,text_QDUxQ1RP5Y2a5a6i,color_FFFFFF,t_30,g_se,x_10,y_10,shadow_20,type_ZmFuZ3poZW5naGVpdGk=,x-oss-process=image/resize,m_fixed,w_1184)
![[数学基础]高等数学相关概念学习_分表_04](https://s2.51cto.com/images/202207/a64100401c8eb5675b64980c6f48852ffd1ffb.png?x-oss-process=image/watermark,size_14,text_QDUxQ1RP5Y2a5a6i,color_FFFFFF,t_30,g_se,x_10,y_10,shadow_20,type_ZmFuZ3poZW5naGVpdGk=,x-oss-process=image/resize,m_fixed,w_1184)
![[数学基础]高等数学相关概念学习_分表_05](https://s2.51cto.com/images/202207/865bbc5372c043772984769b8ed7f5af4afe26.png?x-oss-process=image/watermark,size_14,text_QDUxQ1RP5Y2a5a6i,color_FFFFFF,t_30,g_se,x_10,y_10,shadow_20,type_ZmFuZ3poZW5naGVpdGk=,x-oss-process=image/resize,m_fixed,w_1184)
![[数学基础]高等数学相关概念学习_极值_06](https://s2.51cto.com/images/202207/e416c5079dd0a55e279772459c4e4966500ec2.png?x-oss-process=image/watermark,size_14,text_QDUxQ1RP5Y2a5a6i,color_FFFFFF,t_30,g_se,x_10,y_10,shadow_20,type_ZmFuZ3poZW5naGVpdGk=,x-oss-process=image/resize,m_fixed,w_1184)
![[数学基础]高等数学相关概念学习_Math_07](https://s2.51cto.com/images/202207/a30e0fa97c56b04e1b86755f4a9691ab0e26f2.png?x-oss-process=image/watermark,size_14,text_QDUxQ1RP5Y2a5a6i,color_FFFFFF,t_30,g_se,x_10,y_10,shadow_20,type_ZmFuZ3poZW5naGVpdGk=,x-oss-process=image/resize,m_fixed,w_1184)
![[数学基础]高等数学相关概念学习_分表_08](https://s2.51cto.com/images/202207/e6a63df35f10df11d4a21049ba058888b2e8c3.png?x-oss-process=image/watermark,size_14,text_QDUxQ1RP5Y2a5a6i,color_FFFFFF,t_30,g_se,x_10,y_10,shadow_20,type_ZmFuZ3poZW5naGVpdGk=,x-oss-process=image/resize,m_fixed,w_1184)
![[数学基础]高等数学相关概念学习_极值_09](https://s2.51cto.com/images/202207/d4e4d5681934f0975e105498a9087c276aa7d4.png?x-oss-process=image/watermark,size_14,text_QDUxQ1RP5Y2a5a6i,color_FFFFFF,t_30,g_se,x_10,y_10,shadow_20,type_ZmFuZ3poZW5naGVpdGk=,x-oss-process=image/resize,m_fixed,w_1184)
![[数学基础]高等数学相关概念学习_邻域_10](https://s2.51cto.com/images/202207/18e4a9e42f9ccb68b74107b0aada02cc2571b5.png?x-oss-process=image/watermark,size_14,text_QDUxQ1RP5Y2a5a6i,color_FFFFFF,t_30,g_se,x_10,y_10,shadow_20,type_ZmFuZ3poZW5naGVpdGk=,x-oss-process=image/resize,m_fixed,w_1184)
![[数学基础]高等数学相关概念学习_极值_11](https://s2.51cto.com/images/202207/59264cb27675483db028390aff294e921b902b.png?x-oss-process=image/watermark,size_14,text_QDUxQ1RP5Y2a5a6i,color_FFFFFF,t_30,g_se,x_10,y_10,shadow_20,type_ZmFuZ3poZW5naGVpdGk=,x-oss-process=image/resize,m_fixed,w_1184)
