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viniterranova
May someone helpe me with this question??
there is no question....
The question is on the attachment.
There still is no question. Find the Domain? What is to be done?
Didn´t you see the attachement??
I did see the attachement. g(x) is defined and there is no instruction. What is to be done?
Sorry for didn´t say before. I need to find the derivative.
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?
May I use the quotient rule first and use the product rule?
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.
What do you suggest?
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.
In this case I will compute the derivatives separately?
Let's see what you get. Then we can reassemble.
I will use the property from algebra. a*(b/c)=ab/c
And the use the quotient rule.