Derivative of $$$2 x^{3}$$$
The calculator will find the derivative of $$$2 x^{3}$$$, 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 $$$c = 2$$$ and $$$f{\left(x \right)} = x^{3}$$$:
$${\color{red}\left(\frac{d}{dx} \left(2 x^{3}\right)\right)} = {\color{red}\left(2 \frac{d}{dx} \left(x^{3}\right)\right)}$$Apply the power rule $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$ with $$$n = 3$$$:
$$2 {\color{red}\left(\frac{d}{dx} \left(x^{3}\right)\right)} = 2 {\color{red}\left(3 x^{2}\right)}$$Thus, $$$\frac{d}{dx} \left(2 x^{3}\right) = 6 x^{2}$$$.
Answer
$$$\frac{d}{dx} \left(2 x^{3}\right) = 6 x^{2}$$$A