simplify derivative! urgent! please! anyone?

That is hard to read. I cannot tell what your square roots apply to.

Is this a calculus question or do you just need to factor out some variables?

mpg
 
(v^2)(6/√12^v-1)+(√12^v-1)(2v)

Are trying to find \(\displaystyle \frac{df(v)}{dv}\)?

As you wrote it - your function looks like:

\(\displaystyle f(v) \ = \ (v^2) * (\frac{6}{\sqrt{12^v}} \ - \ 1) \ + \ (\sqrt{12^v} \ - \ 1) * (2*v)\)

Is that correct?

If not - using proper grouping symbols (and paying attention to order of operations aka PEMDAS) repost your problem.
 
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