$$$a^{u}$$$ 关于 $$$u$$$ 的导数
您的输入
求$$$\frac{d}{du} \left(a^{u}\right)$$$。
解答
应用指数法则 $$$\frac{d}{du} \left(n^{u}\right) = n^{u} \ln\left(n\right)$$$,其中 $$$n = a$$$:
$${\color{red}\left(\frac{d}{du} \left(a^{u}\right)\right)} = {\color{red}\left(a^{u} \ln\left(a\right)\right)}$$因此,$$$\frac{d}{du} \left(a^{u}\right) = a^{u} \ln\left(a\right)$$$。
答案
$$$\frac{d}{du} \left(a^{u}\right) = a^{u} \ln\left(a\right)$$$A
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