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$$$\frac{1}{\sqrt{x}}$$$의 도함수
사용자 입력
$$$\frac{d}{dx} \left(\frac{1}{\sqrt{x}}\right)$$$을(를) 구하시오.
풀이
거듭제곱법칙 $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$을 $$$n = - \frac{1}{2}$$$에 적용합니다:
$${\color{red}\left(\frac{d}{dx} \left(\frac{1}{\sqrt{x}}\right)\right)} = {\color{red}\left(- \frac{1}{2 x^{\frac{3}{2}}}\right)}$$따라서, $$$\frac{d}{dx} \left(\frac{1}{\sqrt{x}}\right) = - \frac{1}{2 x^{\frac{3}{2}}}$$$.
정답
$$$\frac{d}{dx} \left(\frac{1}{\sqrt{x}}\right) = - \frac{1}{2 x^{\frac{3}{2}}}$$$A
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