Given the limit, find F and A?

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Homework Help Overview

The discussion centers around a limit that represents the derivative of a function F at a number A, specifically involving the expression related to the fourth root of a number as h approaches zero. Participants are exploring the function and the point at which the derivative is evaluated.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to identify the function F and the point A based on the limit provided. There are questions about how to derive the function from the limit and comparisons to the definition of the derivative.

Discussion Status

The discussion is ongoing, with various interpretations of the function and point being explored. Some participants have suggested potential values for F and A, while others are questioning the reasoning behind these suggestions. Guidance has been offered to consider the definition of the derivative in relation to the limit.

Contextual Notes

There is mention of the problem being relevant for midterms, and some participants express uncertainty about the material being covered in class.

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This limit represents the derivative of some function F at some number A.
lim___________ ([4th root (16+h)] - 2)
_____________________________________
h->0_________________h

f = ?
a = ?

I don't know how to solve this? Teacher said it is going to be on midterms but he never went through it. Thanks.

I think a = 0
 
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How about f (x) = x1/4, a = 16?
 
hmm, how did you get this? thanks!
losiu99 said:
How about f (x) = x1/4, a = 16?
 
You should start by writing down the definition of the derivative and comparing it to the given limit. You can find the f(a+h) term by looking at where (_+h)'s occur in the given limit
 

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