Hello from MrBillDoesMath!
Answer:
(3 /2)* ( x^(1/2) )
Discussion:
I think you are asking for the derivative of (3x) ^ (1/2) -- the square root of both 3 and x.
The derivative of (3x) ^ (1/2) is
(1/2) (3x) ^ (1/2 -1) (d(3x)/dx) =
(1/2) (3x)^(-1/2) 3 =
3/2 (1/ (3x)^ (1/2) ) =
3/2 ( 1/ 3^(1/2)) ( 1 / x^(1/2) ) =
(3/3^(1/2)) * (1/2) ( 1/ x^(1/2) ) =
( 3^(1/2) / 2 ) * (1/ x^(1/2) ) =
( 3^(1/2) ) * (1 / 2) * (1/ x^(1/2) ) =
It's straightforward but using a keyboard over complicates its appearance
Thank you,
MrB
