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Derivative of $$$2^{x}$$$
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Your Input
Find $$$\frac{d}{dx} \left(2^{x}\right)$$$.
Solution
Apply the exponential rule $$$\frac{d}{dx} \left(n^{x}\right) = n^{x} \ln\left(n\right)$$$ with $$$n = 2$$$:
$${\color{red}\left(\frac{d}{dx} \left(2^{x}\right)\right)} = {\color{red}\left(2^{x} \ln\left(2\right)\right)}$$Thus, $$$\frac{d}{dx} \left(2^{x}\right) = 2^{x} \ln\left(2\right)$$$.
Answer
$$$\frac{d}{dx} \left(2^{x}\right) = 2^{x} \ln\left(2\right)$$$A