# How do you find the derivative of y =sqrt(3x)?

By General Power Rule (Power Rule and Chain Rule), $y ' = \frac{3}{2 \sqrt{3 x}}$.
$y = {\left(3 x\right)}^{\frac{1}{2}}$
$y ' = \frac{1}{2} {\left(3 x\right)}^{- \frac{1}{2}} \cdot 3 = \frac{3}{2 \sqrt{3 x}}$