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