Derivative of a Polynomial Function?

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Homework Help Overview

The discussion revolves around finding the derivative of a polynomial function defined as the product of two expressions: f(x) = (x^2 + 3x - 2)(x^3 - 4). Participants are exploring the correct application of differentiation techniques.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Some participants attempt to verify their derivative calculation, while others suggest using the product rule for differentiation. There is a focus on confirming the correctness of the derivative obtained through multiplication.

Discussion Status

The discussion includes attempts to validate the derivative, with some participants expressing confidence in their results. There is a suggestion to use the product rule, indicating a potential exploration of different methods, but no explicit consensus has been reached.

Contextual Notes

Participants are working within the constraints of homework guidelines, which may limit the methods they can use or the depth of their exploration.

10min
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Homework Statement



Find derivative of function?
if f(x) = (x^2 + 3x -2 ) (x^3-4)
Find f`(x)

Homework Equations



FOIL or Multiply both

The Attempt at a Solution



I get
5x^4 + 12x^3 - 6x^2 -8x-12

is this right?
 
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Yes, it's correct. Why do you think it might not be??
 
just checking
 
I'd use the product rule.
 
10min said:

Homework Statement



Find derivative of function?
if f(x) = (x^2 + 3x -2 ) (x^3-4)
Find f`(x)

Homework Equations



FOIL or Multiply both

The Attempt at a Solution



I get
5x^4 + 12x^3 - 6x^2 -8x-12

is this right?

yes i believe it is.
 
You could check by using the product rule as ducnguyen2000 suggested:
the derivative of f(x) = (x^2 + 3x -2 ) (x^3-4) is (x^2+ 3x- 2)'(x^3- 4)+ (x^2+ 3x- 2)(x^3- 4)'.
 

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