Solve √x

Step-by-step solution

1. Rewrite as a power: $\sqrt{x} = x^{1/2}$.

2. Apply power rule with $n = \tfrac{1}{2}$: $\frac{d}{dx}(x^{1/2}) = \tfrac{1}{2} x^{-1/2}$.

3. Rewrite back: $\frac{1}{2\sqrt{x}}$.

4. Domain: valid for $x > 0$ (function defined and differentiable).