## anonymous 3 years ago May someone helpe me with this question??

1. Softballgirl372015

there is no question....

2. anonymous

The question is on the attachment.

3. tkhunny

There still is no question. Find the Domain? What is to be done?

4. anonymous

Didn´t you see the attachement??

5. tkhunny

I did see the attachement. g(x) is defined and there is no instruction. What is to be done?

6. anonymous

Sorry for didn´t say before. I need to find the derivative.

7. tkhunny

There it is! A problem statement. Okay, that's rather tedious. How do you propose we approach it? -- Divide the front? -- Multiply through the parentheses? -- Jump right in with the Product Rule? -- Other?

8. anonymous

May I use the quotient rule first and use the product rule?

9. tkhunny

You can do that if you want, but you may become confused as it is more a side-effect of the product rule. You'll need the derivative of that leading fraction, anyway, so it doesn't much matter where you start.

10. anonymous

What do you suggest?

11. tkhunny

I'm tempted to do it in chunks. $$\dfrac{d}{dx}\dfrac{x^{3}+1}{x^{3}+3} = ??$$ -- Usng the Quotient rule. $$\dfrac{d}{dx}\left(x^{2} - \dfrac{2}{x}+1\right) = ??$$ -- Using the Polynomial rule. Once we get this piece out of the way, the rest will be algebra.

12. anonymous

In this case I will compute the derivatives separately?

13. tkhunny

Let's see what you get. Then we can reassemble.

14. anonymous

I will use the property from algebra. a*(b/c)=ab/c

15. anonymous

And the use the quotient rule.