Finding the First Derivative of a Polynomial Function

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Homework Help Overview

The discussion revolves around finding the first derivative of a polynomial function, specifically f(x)=x^2-(7x^2)/2-9x+3. Participants are exploring the differentiation process and addressing confusion regarding the term (7x^2)/2.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the differentiation of the polynomial, with one questioning whether to use the quotient rule or treat (7x^2)/2 as a constant. There is also uncertainty about how to manipulate the term (7x^2)/2 for differentiation.

Discussion Status

The discussion is active, with participants providing guidance on how to approach the differentiation. One participant suggests treating 7/2 as a constant, which may help clarify the process for others. There is acknowledgment of confusion, but also a sense of support among participants.

Contextual Notes

Some participants express concern about their understanding and whether they are wasting others' time, indicating a potential lack of confidence in their mathematical skills. There is also a mention of different interpretations of the function, which could affect the approach to finding the derivative.

Sethka
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I've got f(x)=x^2-(7x^2)/2-9x+3

I need to find the first derivative of it but I get as far as 2x- but I'm stumped as to what to do with (7x^2)/2 Would I use the quotiant rule? Or should I somehow bring the 2 up to the top and if so how do I do that?
 
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Sethka said:
I've got f(x)=x^2-(7x^2)/2-9x+3

I need to find the first derivative of it but I get as far as 2x- but I'm stumped as to what to do with (7x^2)/2 Would I use the quotiant rule? Or should I somehow bring the 2 up to the top and if so how do I do that?

If you mean [tex]f(x) = x^2 + \frac {7x^2}{2} -9x + 3[/tex], I'm sure that you can see what the answer will be.

If on the other hand you mean [tex]f(x) = x^2 + \frac {7x^2}{2 - 9x} + 3[/tex], use quotient rule.
 
I guess I risk coming off really stupid but I do mean the first one (7x^2)/2 It looks so simple I know, but I'm not sure which direction to go with the 2. Sorry if I'm wasting your guys' time or anything, but I can't see what the answer should be.
 
treat 7/2 as a constant (which it is :)) and get the derivative of x^2
 
Oh! Thank you! Funny how the simplest things can seem so hard. I feel silly now.
 

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