What is the Derivative of 3(2x^2 + 1)?

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Homework Help Overview

The discussion revolves around finding the derivative of the expression 3(2x^2 + 1), which falls under the subject area of calculus, specifically differentiation.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to differentiate the expression using the power rule and evaluates their result. Some participants affirm the correctness of the approach, while others suggest an alternative method by expanding the expression before differentiation.

Discussion Status

The discussion includes affirmations of the original poster's attempt and explores different methods of differentiation. While there is no explicit consensus, multiple approaches are being discussed, indicating a productive exchange of ideas.

Contextual Notes

Participants are engaging with the problem under the constraints of homework guidelines, focusing on the differentiation process without providing complete solutions.

andrey21
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Differentiate the following:

3(2x2 +1 )



Heres my attempt

4x.3(2x2+1)^0

anything the the power of 0 = 1

So we have:

12x.(1) = 12x

Is this correct?
 
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Yes, this is good!
 
Thank you micromass
 
Of course, you could also do this by multiplying that "3" into the parentheses to begin with: [itex]3(2x^2+ 1)= 6x^2+ 3[/itex] so it has derivative [itex]6(2x)+ 0= 12x[/itex] just as you got.
 
Yes.

well done:)
 

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