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$$$\frac{1}{y}$$$ 的導數
您的輸入
求$$$\frac{d}{dy} \left(\frac{1}{y}\right)$$$。
解答
套用冪次法則 $$$\frac{d}{dy} \left(y^{n}\right) = n y^{n - 1}$$$，取 $$$n = -1$$$：
$${\color{red}\left(\frac{d}{dy} \left(\frac{1}{y}\right)\right)} = {\color{red}\left(- \frac{1}{y^{2}}\right)}$$因此，$$$\frac{d}{dy} \left(\frac{1}{y}\right) = - \frac{1}{y^{2}}$$$。
答案
$$$\frac{d}{dy} \left(\frac{1}{y}\right) = - \frac{1}{y^{2}}$$$A
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