$$$2 c$$$的导数
您的输入
求$$$\frac{d}{dc} \left(2 c\right)$$$。
解答
对 $$$k = 2$$$ 和 $$$f{\left(c \right)} = c$$$ 应用常数倍法则 $$$\frac{d}{dc} \left(k f{\left(c \right)}\right) = k \frac{d}{dc} \left(f{\left(c \right)}\right)$$$：
$${\color{red}\left(\frac{d}{dc} \left(2 c\right)\right)} = {\color{red}\left(2 \frac{d}{dc} \left(c\right)\right)}$$应用幂法则 $$$\frac{d}{dc} \left(c^{n}\right) = n c^{n - 1}$$$，取 $$$n = 1$$$，也就是说，$$$\frac{d}{dc} \left(c\right) = 1$$$：
$$2 {\color{red}\left(\frac{d}{dc} \left(c\right)\right)} = 2 {\color{red}\left(1\right)}$$因此，$$$\frac{d}{dc} \left(2 c\right) = 2$$$。
答案
$$$\frac{d}{dc} \left(2 c\right) = 2$$$A
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