$$$e^{u} + 5$$$的导数
您的输入
求$$$\frac{d}{du} \left(e^{u} + 5\right)$$$。
解答
和/差的导数等于导数的和/差：
$${\color{red}\left(\frac{d}{du} \left(e^{u} + 5\right)\right)} = {\color{red}\left(\frac{d}{du} \left(e^{u}\right) + \frac{d}{du} \left(5\right)\right)}$$常数的导数是$$$0$$$:
$${\color{red}\left(\frac{d}{du} \left(5\right)\right)} + \frac{d}{du} \left(e^{u}\right) = {\color{red}\left(0\right)} + \frac{d}{du} \left(e^{u}\right)$$指数函数的导数为 $$$\frac{d}{du} \left(e^{u}\right) = e^{u}$$$：
$${\color{red}\left(\frac{d}{du} \left(e^{u}\right)\right)} = {\color{red}\left(e^{u}\right)}$$因此，$$$\frac{d}{du} \left(e^{u} + 5\right) = e^{u}$$$。
答案
$$$\frac{d}{du} \left(e^{u} + 5\right) = e^{u}$$$A