Question

Is the derivative of square root of 6x, 3x^(-1/2)?

Answer 1

Lets calculate derivative of $\sqrt{6x}$

That is:
$( 6x^{ \frac{1}{2} } )' = 6* \frac{1}{2} * x^{ \frac{1}{2} -1 } = 3* x^{- \frac{1}{2} }$

Comparing that with offered answer we can see that results match.