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Derivative of $$$x^{n}$$$ with respect to $$$x$$$
The calculator will find the derivative of $$$x^{n}$$$ with respect to $$$x$$$, with steps shown.
Related calculator: Derivative Calculator
Solution
Apply the power rule $$$\frac{d}{dx} \left(x^{m}\right) = m x^{m - 1}$$$ with $$$m = n$$$:
$${\color{red}\left(\frac{d}{dx} \left(x^{n}\right)\right)} = {\color{red}\left(n x^{n - 1}\right)}$$Thus, $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$.
Answer
$$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$A