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