# How do you find the derivative of x^(1/2)?

##### 1 Answer
May 28, 2015

Using the power rule:
$\left({x}^{\frac{1}{2}}\right) ' = \frac{1}{2} \cdot {x}^{\frac{1}{2} - 1} = \frac{1}{2} \cdot {x}^{- \frac{1}{2}} = \frac{1}{2} \cdot \frac{1}{x} ^ \left(\frac{1}{2}\right) = \frac{1}{2 {x}^{\frac{1}{2}}}$