## viniterranova Group Title May someone helpe me with this question?? one year ago one year ago

1. Softballgirl372015 Group Title

there is no question....

2. viniterranova Group Title

The question is on the attachment.

3. tkhunny Group Title

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

4. viniterranova Group Title

Didn´t you see the attachement??

5. tkhunny Group Title

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

6. viniterranova Group Title

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

7. tkhunny Group Title

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. viniterranova Group Title

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

9. tkhunny Group Title

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. viniterranova Group Title

What do you suggest?

11. tkhunny Group Title

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. viniterranova Group Title

In this case I will compute the derivatives separately?

13. tkhunny Group Title

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

14. viniterranova Group Title

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

15. viniterranova Group Title

And the use the quotient rule.