$$$\operatorname{asin}{\left(u \right)}$$$ 的導數

此計算器將求出 $$$\operatorname{asin}{\left(u \right)}$$$ 的導數，並顯示步驟。

求$$$\frac{d}{du} \left(\operatorname{asin}{\left(u \right)}\right)$$$。

反正弦函數的導數為 $$$\frac{d}{du} \left(\operatorname{asin}{\left(u \right)}\right) = \frac{1}{\sqrt{1 - u^{2}}}$$$:

$${\color{red}\left(\frac{d}{du} \left(\operatorname{asin}{\left(u \right)}\right)\right)} = {\color{red}\left(\frac{1}{\sqrt{1 - u^{2}}}\right)}$$

因此，$$$\frac{d}{du} \left(\operatorname{asin}{\left(u \right)}\right) = \frac{1}{\sqrt{1 - u^{2}}}$$$。

$$$\frac{d}{du} \left(\operatorname{asin}{\left(u \right)}\right) = \frac{1}{\sqrt{1 - u^{2}}}$$$A

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