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

Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps

### Your Input

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

### Solution

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

Simplify:

$$n x^{n - 1} = \frac{n x^{n}}{x}$$Thus, $$$\frac{d}{dx} \left(x^{n}\right) = \frac{n x^{n}}{x}$$$.

### Answer

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