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Derivative of $$$6^{x}$$$
The calculator will find the derivative of $$$6^{x}$$$, 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 $$$n = 6$$$:
$${\color{red}\left(\frac{d}{dx} \left(6^{x}\right)\right)} = {\color{red}\left(6^{x} \ln\left(6\right)\right)}$$Thus, $$$\frac{d}{dx} \left(6^{x}\right) = 6^{x} \ln\left(6\right)$$$.
Answer
$$$\frac{d}{dx} \left(6^{x}\right) = 6^{x} \ln\left(6\right)$$$A