$$$\frac{1}{u}$$$의 도함수
사용자 입력
$$$\frac{d}{du} \left(\frac{1}{u}\right)$$$을(를) 구하시오.
풀이
거듭제곱법칙 $$$\frac{d}{du} \left(u^{n}\right) = n u^{n - 1}$$$을 $$$n = -1$$$에 적용합니다:
$${\color{red}\left(\frac{d}{du} \left(\frac{1}{u}\right)\right)} = {\color{red}\left(- \frac{1}{u^{2}}\right)}$$따라서, $$$\frac{d}{du} \left(\frac{1}{u}\right) = - \frac{1}{u^{2}}$$$.
정답
$$$\frac{d}{du} \left(\frac{1}{u}\right) = - \frac{1}{u^{2}}$$$A
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