Derivative of $$$a^{u}$$$ with respect to $$$u$$$

The calculator will find the derivative of $$$a^{u}$$$ with respect to $$$u$$$, with steps shown.

Apply the exponential rule $$$\frac{d}{du} \left(n^{u}\right) = n^{u} \ln\left(n\right)$$$ with $$$n = a$$$:

$${\color{red}\left(\frac{d}{du} \left(a^{u}\right)\right)} = {\color{red}\left(a^{u} \ln\left(a\right)\right)}$$

Thus, $$$\frac{d}{du} \left(a^{u}\right) = a^{u} \ln\left(a\right)$$$.

$$$\frac{d}{du} \left(a^{u}\right) = a^{u} \ln\left(a\right)$$$A