Question

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

Answer 1

By General Power Rule (Power Rule and Chain Rule), `y'=3/{2sqrt{3x}}`.

First, rewrite the square-root as the 1/2-power,
`y=(3x)^{1/2}`

By General Power Rule,
`y'=1/2(3x)^{-1/2}cdot 3={3}/{2sqrt{3x}}`