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Derivative of $$$3^{x}$$$
The calculator will find the derivative of $$$3^{x}$$$, 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 $$$n = 3$$$:
$${\color{red}\left(\frac{d}{dx} \left(3^{x}\right)\right)} = {\color{red}\left(3^{x} \ln\left(3\right)\right)}$$Thus, $$$\frac{d}{dx} \left(3^{x}\right) = 3^{x} \ln\left(3\right)$$$.
Answer
$$$\frac{d}{dx} \left(3^{x}\right) = 3^{x} \ln\left(3\right)$$$A