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Derivative of $$$2^{n}$$$
The calculator will find the derivative of $$$2^{n}$$$, with steps shown.
Related calculator: Derivative Calculator
Solution
Apply the exponential rule $$$\frac{d}{dn} \left(m^{n}\right) = m^{n} \ln\left(m\right)$$$ with $$$m = 2$$$:
$${\color{red}\left(\frac{d}{dn} \left(2^{n}\right)\right)} = {\color{red}\left(2^{n} \ln\left(2\right)\right)}$$Thus, $$$\frac{d}{dn} \left(2^{n}\right) = 2^{n} \ln\left(2\right)$$$.
Answer
$$$\frac{d}{dn} \left(2^{n}\right) = 2^{n} \ln\left(2\right)$$$A