Calculus question again

[GiantsFanatic]

Chain Rule

Question is
Find the derivative of F(x)= 3 sq rt of x^3-1

First step I did was changing the Sq RT to (x^3-1)^3/2
Then I solved it by 3/2(X^3-1)^1/2*3X^2

Another problem very similar
F(X)= 3 SQ RT of X^4+3x+2

Step 1 (X^4+3x+2)^3/2
Then 3/2(X^4+3x+2)*4x^3+3

I know how to do the derivatives my only concern is that 3 in front of the square roots are throwing me off, I just want to know if I'm doing it right.

[bwitty24]

I personally don't think it's right. I feel like if it wanted to say what you think it says it would say cube root or 4th root, something like that.

[DirtyKash]

I personally don't think it's right.

It's right, except he just needs to put parentheses at the correct place because
3/2(X^3-1)^1/2*3X^2 isn't the same thing as (9 x^2)/[2 sqrt((x^3)-1)]