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Afgeleide van $$$\operatorname{asin}{\left(x \right)}$$$
Gerelateerde rekenmachines: Rekenmachine voor logaritmisch differentiëren, Rekenmachine voor impliciete differentiatie met stappen
Uw invoer
Bepaal $$$\frac{d}{dx} \left(\operatorname{asin}{\left(x \right)}\right)$$$.
Oplossing
De afgeleide van de arcsinus is $$$\frac{d}{dx} \left(\operatorname{asin}{\left(x \right)}\right) = \frac{1}{\sqrt{1 - x^{2}}}$$$:
$${\color{red}\left(\frac{d}{dx} \left(\operatorname{asin}{\left(x \right)}\right)\right)} = {\color{red}\left(\frac{1}{\sqrt{1 - x^{2}}}\right)}$$Dus, $$$\frac{d}{dx} \left(\operatorname{asin}{\left(x \right)}\right) = \frac{1}{\sqrt{1 - x^{2}}}$$$.
Antwoord
$$$\frac{d}{dx} \left(\operatorname{asin}{\left(x \right)}\right) = \frac{1}{\sqrt{1 - x^{2}}}$$$A
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