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Derivada de $$$2 x_{0}$$$
Calculadoras relacionadas: Calculadora de diferenciación logarítmica, Calculadora de derivación implícita con pasos
Tu entrada
Halla $$$\frac{d}{dx_{0}} \left(2 x_{0}\right)$$$.
Solución
Aplica la regla del factor constante $$$\frac{d}{dx_{0}} \left(c f{\left(x_{0} \right)}\right) = c \frac{d}{dx_{0}} \left(f{\left(x_{0} \right)}\right)$$$ con $$$c = 2$$$ y $$$f{\left(x_{0} \right)} = x_{0}$$$:
$${\color{red}\left(\frac{d}{dx_{0}} \left(2 x_{0}\right)\right)} = {\color{red}\left(2 \frac{d}{dx_{0}} \left(x_{0}\right)\right)}$$Aplica la regla de la potencia $$$\frac{d}{dx_{0}} \left(x_{0}^{n}\right) = n x_{0}^{n - 1}$$$ con $$$n = 1$$$, en otras palabras, $$$\frac{d}{dx_{0}} \left(x_{0}\right) = 1$$$:
$$2 {\color{red}\left(\frac{d}{dx_{0}} \left(x_{0}\right)\right)} = 2 {\color{red}\left(1\right)}$$Por lo tanto, $$$\frac{d}{dx_{0}} \left(2 x_{0}\right) = 2$$$.
Respuesta
$$$\frac{d}{dx_{0}} \left(2 x_{0}\right) = 2$$$A