Derivative of $$$x^{n}$$$ with respect to $$$x$$$

The calculator will find the derivative of $$$x^{n}$$$ with respect to $$$x$$$, with steps shown.

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Find $$$\frac{d}{dx} \left(x^{n}\right)$$$.


Apply the power rule $$$\frac{d}{dx} \left(x^{m}\right) = m x^{m - 1}$$$ with $$$m = n$$$:

$${\color{red}\left(\frac{d}{dx} \left(x^{n}\right)\right)} = {\color{red}\left(n x^{n - 1}\right)}$$


$$n x^{n - 1} = \frac{n x^{n}}{x}$$

Thus, $$$\frac{d}{dx} \left(x^{n}\right) = \frac{n x^{n}}{x}$$$.


$$$\frac{d}{dx} \left(x^{n}\right) = \frac{n x^{n}}{x}$$$A