# How do you find the derivative of 2 sqrt x?

Apr 10, 2018

$\frac{1}{\sqrt{x}}$

#### Explanation:

Don't worry, you don't need the chain rule for this one.

2 is a constant so it can be taken out of the expression.

$\frac{d}{\mathrm{dx}} \left[2 \sqrt{x}\right] = 2 \frac{d}{\mathrm{dx}} \left[\sqrt{x}\right] = 2 \frac{d}{\mathrm{dx}} \left[{x}^{\frac{1}{2}}\right]$

$2 \frac{d}{\mathrm{dx}} \left[{x}^{\frac{1}{2}}\right] = 2 \times \frac{1}{2} {x}^{- \frac{1}{2}} = {x}^{- \frac{1}{2}}$

${x}^{- \frac{1}{2}} = \frac{1}{\sqrt{x}}$