$$$\sqrt{3} v$$$의 도함수
사용자 입력
$$$\frac{d}{dv} \left(\sqrt{3} v\right)$$$을(를) 구하시오.
풀이
상수배 법칙 $$$\frac{d}{dv} \left(c f{\left(v \right)}\right) = c \frac{d}{dv} \left(f{\left(v \right)}\right)$$$을 $$$c = \sqrt{3}$$$와 $$$f{\left(v \right)} = v$$$에 적용합니다:
$${\color{red}\left(\frac{d}{dv} \left(\sqrt{3} v\right)\right)} = {\color{red}\left(\sqrt{3} \frac{d}{dv} \left(v\right)\right)}$$멱법칙 $$$\frac{d}{dv} \left(v^{n}\right) = n v^{n - 1}$$$을 $$$n = 1$$$에 대해 적용하면, 즉 $$$\frac{d}{dv} \left(v\right) = 1$$$:
$$\sqrt{3} {\color{red}\left(\frac{d}{dv} \left(v\right)\right)} = \sqrt{3} {\color{red}\left(1\right)}$$따라서, $$$\frac{d}{dv} \left(\sqrt{3} v\right) = \sqrt{3}$$$.
정답
$$$\frac{d}{dv} \left(\sqrt{3} v\right) = \sqrt{3}$$$A
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