# Derivative of $$$\sqrt{x}$$$

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### Your Input

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

### Solution

**Apply the power rule $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$ with $$$n = \frac{1}{2}$$$:**

Thus, $$$\frac{d}{dx} \left(\sqrt{x}\right) = \frac{1}{2 \sqrt{x}}$$$.

### Answer

**$$$\frac{d}{dx} \left(\sqrt{x}\right) = \frac{1}{2 \sqrt{x}}$$$A**