Is the Derivative of (x^2-6x+9)(2x^2-x+1) Correct?

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Discussion Overview

The discussion revolves around finding the derivative of the expression (x^2-6x+9)(2x^2-x+1). Participants are examining the steps taken to compute the derivative and verifying the correctness of the resulting expression.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant presents their calculation of the derivative, yielding the expression 8x^3-39x^2-28x-15.
  • Another participant suggests reviewing a specific term in the calculation, indicating a potential error in the derivative.
  • A subsequent post modifies the derivative result to 8x^3-39x^2-50x-15, reflecting a correction based on the earlier feedback.
  • A later post clarifies the intended expression as 8x^3-39x^2+50x-15, indicating further adjustments to the derivative.
  • Another participant claims agreement with the final expression presented.

Areas of Agreement / Disagreement

The discussion shows some disagreement regarding the correctness of the derivative calculations, with multiple versions of the derivative being proposed. No consensus on the final correct expression is reached.

Contextual Notes

Participants have pointed out potential errors in specific terms of the derivative, but the discussion does not resolve which version is correct. The calculations depend on the accuracy of each participant's algebraic manipulation.

UrbanXrisis
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I need to find the derivative of:

(x^2-6x+9)(2x^2-x+1)

what i did:
(2x-6)(2x^2-x+1)+(4x-1)(x^2-6x+9)
4x^3-2x^2+2x-12x^2+6x-6+4x^3-24x^2-36x-x^2+6x-9
8x^3-39x^2-28x-15

is this correct?
 
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Take a closer look at that "4x" times "9" term again!
 
(2x-6)(2x^2-x+1)+(4x-1)(x^2-6x+9)
4x^3-2x^2+2x-12x^2+6x-6+4x^3-24x^2+36x-x^2+6x-9
8x^3-39x^2-50x-15

thanks, is this right?
 
I mean to write:
8x^3-39x^2+50x-15
 
that's what I got
 

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