# Math Help - Find g'(t)...Quotient or Product Rule?

1. ## Find g'(t)...Quotient or Product Rule?

Find g'(t).

g(t) = 3t^2/(sqrt{t^2+2t-1})

It is easier to solve by the quotient rule?
Should I separate the fraction and use the product rule?

If so, can the problem be rewritten
as 1/(sqrt{t^2+2t-1}) * 3t^2 and then apply the product rule?

What is the easiest way to find g'(t)?

2. ## Re: Find g'(t)...Quotient or Product Rule?

I'd probably lean towards writing it as $\displaystyle g(t) = 3t^2 \left( t^2 + 2t - 1 \right) ^{-\frac{1}{2}}$ and applying the product and chain rules.

3. ## Re: Find g'(t)...Quotient or Product Rule?

I was able to find g'(t) but cannot simplify it enough to look like the book's answer.