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$$$\sqrt[4]{x}$$$ 的導數
您的輸入
求$$$\frac{d}{dx} \left(\sqrt[4]{x}\right)$$$。
解答
套用冪次法則 $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$，取 $$$n = \frac{1}{4}$$$：
$${\color{red}\left(\frac{d}{dx} \left(\sqrt[4]{x}\right)\right)} = {\color{red}\left(\frac{1}{4 x^{\frac{3}{4}}}\right)}$$因此，$$$\frac{d}{dx} \left(\sqrt[4]{x}\right) = \frac{1}{4 x^{\frac{3}{4}}}$$$。
答案
$$$\frac{d}{dx} \left(\sqrt[4]{x}\right) = \frac{1}{4 x^{\frac{3}{4}}}$$$A
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