Derivative of $$$\frac{x}{3}$$$
The calculator will find the derivative of $$$\frac{x}{3}$$$, with steps shown.
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Solution
Apply the constant multiple rule $$$\frac{d}{dx} \left(c f{\left(x \right)}\right) = c \frac{d}{dx} \left(f{\left(x \right)}\right)$$$ with $$$c = \frac{1}{3}$$$ and $$$f{\left(x \right)} = x$$$:
$${\color{red}\left(\frac{d}{dx} \left(\frac{x}{3}\right)\right)} = {\color{red}\left(\frac{\frac{d}{dx} \left(x\right)}{3}\right)}$$Apply the power rule $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$ with $$$n = 1$$$, in other words, $$$\frac{d}{dx} \left(x\right) = 1$$$:
$$\frac{{\color{red}\left(\frac{d}{dx} \left(x\right)\right)}}{3} = \frac{{\color{red}\left(1\right)}}{3}$$Thus, $$$\frac{d}{dx} \left(\frac{x}{3}\right) = \frac{1}{3}$$$.
Answer
$$$\frac{d}{dx} \left(\frac{x}{3}\right) = \frac{1}{3}$$$A