Derivative of $$$2 n$$$
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Your Input
Find $$$\frac{d}{dn} \left(2 n\right)$$$.
Solution
Apply the constant multiple rule $$$\frac{d}{dn} \left(c f{\left(n \right)}\right) = c \frac{d}{dn} \left(f{\left(n \right)}\right)$$$ with $$$c = 2$$$ and $$$f{\left(n \right)} = n$$$:
$${\color{red}\left(\frac{d}{dn} \left(2 n\right)\right)} = {\color{red}\left(2 \frac{d}{dn} \left(n\right)\right)}$$Apply the power rule $$$\frac{d}{dn} \left(n^{m}\right) = m n^{m - 1}$$$ with $$$m = 1$$$, in other words, $$$\frac{d}{dn} \left(n\right) = 1$$$:
$$2 {\color{red}\left(\frac{d}{dn} \left(n\right)\right)} = 2 {\color{red}\left(1\right)}$$Thus, $$$\frac{d}{dn} \left(2 n\right) = 2$$$.
Answer
$$$\frac{d}{dn} \left(2 n\right) = 2$$$A
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