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Afgeleide van $$$2 x_{0}$$$
Gerelateerde rekenmachines: Rekenmachine voor logaritmisch differentiëren, Rekenmachine voor impliciete differentiatie met stappen
Uw invoer
Bepaal $$$\frac{d}{dx_{0}} \left(2 x_{0}\right)$$$.
Oplossing
Pas de regel van de constante factor $$$\frac{d}{dx_{0}} \left(c f{\left(x_{0} \right)}\right) = c \frac{d}{dx_{0}} \left(f{\left(x_{0} \right)}\right)$$$ toe met $$$c = 2$$$ en $$$f{\left(x_{0} \right)} = x_{0}$$$:
$${\color{red}\left(\frac{d}{dx_{0}} \left(2 x_{0}\right)\right)} = {\color{red}\left(2 \frac{d}{dx_{0}} \left(x_{0}\right)\right)}$$Pas de machtsregel $$$\frac{d}{dx_{0}} \left(x_{0}^{n}\right) = n x_{0}^{n - 1}$$$ toe met $$$n = 1$$$, met andere woorden, $$$\frac{d}{dx_{0}} \left(x_{0}\right) = 1$$$:
$$2 {\color{red}\left(\frac{d}{dx_{0}} \left(x_{0}\right)\right)} = 2 {\color{red}\left(1\right)}$$Dus, $$$\frac{d}{dx_{0}} \left(2 x_{0}\right) = 2$$$.
Antwoord
$$$\frac{d}{dx_{0}} \left(2 x_{0}\right) = 2$$$A