$$$\operatorname{asin}{\left(u \right)}$$$的导数
您的输入
求$$$\frac{d}{du} \left(\operatorname{asin}{\left(u \right)}\right)$$$。
解答
反正弦函数的导数为 $$$\frac{d}{du} \left(\operatorname{asin}{\left(u \right)}\right) = \frac{1}{\sqrt{1 - u^{2}}}$$$:
$${\color{red}\left(\frac{d}{du} \left(\operatorname{asin}{\left(u \right)}\right)\right)} = {\color{red}\left(\frac{1}{\sqrt{1 - u^{2}}}\right)}$$因此,$$$\frac{d}{du} \left(\operatorname{asin}{\left(u \right)}\right) = \frac{1}{\sqrt{1 - u^{2}}}$$$。
答案
$$$\frac{d}{du} \left(\operatorname{asin}{\left(u \right)}\right) = \frac{1}{\sqrt{1 - u^{2}}}$$$A
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