定积分求导解答过程如下:
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/d62a6059252dd42a32781fb70e3b5bb5c9eab8bc?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
求导是数学计算中的一个计算方法,它的定义就是,当自变量的增量趋于零时,因变量的增量与自变量的增量之商的极限。在一个函数存在导数时,称这个函数可导或者可微分。可导的函数一定连续。不连续的函数一定不可导。
扩展资料
求导四则运算法则与性质:
1.若函数u(x),v(x)都可导,则
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/c2fdfc039245d68842f6acb8a9c27d1ed21b2431?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/cefc1e178a82b9018133dd2f7e8da9773912ef14?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/b3b7d0a20cf431adf1545d254636acaf2edd9823?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
2.加减乘都可以推广到n个函数的情况,例如乘法:
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/8b82b9014a90f603be2e825b3412b31bb051ed14?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
3.数乘性
作为乘法法则的特例若为u(x)×常数c,则
这说明常数可任意进出导数符号。
4.线性性
求导运算也是满足线性性的,即可加性、数乘性,对于n个函数的情况:
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/b7fd5266d01609240dd1bc07d90735fae6cd3431?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
参考资料:百度百科求导