$$$t^{3}$$$ 的導數
您的輸入
求$$$\frac{d}{dt} \left(t^{3}\right)$$$。
解答
套用冪次法則 $$$\frac{d}{dt} \left(t^{n}\right) = n t^{n - 1}$$$,取 $$$n = 3$$$:
$${\color{red}\left(\frac{d}{dt} \left(t^{3}\right)\right)} = {\color{red}\left(3 t^{2}\right)}$$因此,$$$\frac{d}{dt} \left(t^{3}\right) = 3 t^{2}$$$。
答案
$$$\frac{d}{dt} \left(t^{3}\right) = 3 t^{2}$$$A
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