Derivative of $$$7^{x}$$$

The calculator will find the derivative of $$$7^{x}$$$, with steps shown.

Related calculator: Derivative Calculator

Solution

Apply the exponential rule $$$\frac{d}{dx} \left(n^{x}\right) = n^{x} \ln\left(n\right)$$$ with $$$n = 7$$$:

$${\color{red}\left(\frac{d}{dx} \left(7^{x}\right)\right)} = {\color{red}\left(7^{x} \ln\left(7\right)\right)}$$

Thus, $$$\frac{d}{dx} \left(7^{x}\right) = 7^{x} \ln\left(7\right)$$$.

Answer

$$$\frac{d}{dx} \left(7^{x}\right) = 7^{x} \ln\left(7\right)$$$A