Problem involving derivative and left-hand limit

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SUMMARY

The discussion centers on finding the left-hand limit of the derivative at a specific point, f'(0). The user expresses frustration with the online homework platform, which does not accept the answer 2x + 6. The conversation highlights the need to correctly apply the definition of the derivative and the left-hand limit, particularly in relation to polynomial functions like x^n. The user recalls that the derivative of x^n is n, indicating a potential misunderstanding of the problem's requirements.

PREREQUISITES
  • Understanding of calculus concepts, specifically limits and derivatives.
  • Familiarity with the definition of the derivative as a limit.
  • Knowledge of polynomial functions and their derivatives.
  • Experience with evaluating left-hand limits in calculus.
NEXT STEPS
  • Review the definition of the derivative using limits in calculus.
  • Study the concept of left-hand limits and how they apply to derivatives.
  • Practice problems involving derivatives of polynomial functions, particularly x^n.
  • Explore online resources or forums for troubleshooting common calculus homework issues.
USEFUL FOR

Students studying calculus, particularly those struggling with derivatives and limits, as well as educators looking for insights into common student challenges in understanding these concepts.

Loopas
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This is from an online homework that's due in an hour. This question has been bothering me all day and I'm convinced that there's a problem with the website.

It's asking for the expression that's used to find the left-hand limit of the derivative, f'(0).

It won't take 2x+6 as the answer... Am I missing something or is the website just screwed up?

I attached a picture of the problem. Help fast!
 

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Do you remember the derivative of of $$x^n$$?
 
Wouldn't that be n?
 

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