Derivative of $$$x^{3}$$$
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Your Input
Find $$$\frac{d}{dx} \left(x^{3}\right)$$$.
Solution
Apply the power rule $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$ with $$$n = 3$$$:
$${\color{red}\left(\frac{d}{dx} \left(x^{3}\right)\right)} = {\color{red}\left(3 x^{2}\right)}$$Thus, $$$\frac{d}{dx} \left(x^{3}\right) = 3 x^{2}$$$.
Answer
$$$\frac{d}{dx} \left(x^{3}\right) = 3 x^{2}$$$A