Power Rule Question: Why Did 1-2x Become 2x-1?

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Homework Help Overview

The discussion revolves around a question related to the application of the power rule in calculus, specifically regarding a transformation of the expression from (1-2x) to (2x-1) in the context of a problem involving derivatives.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the validity of the transformation of the expression and whether the signs in the denominators are correct. There is a suggestion of a possible typo in the solution manual.

Discussion Status

The discussion is ongoing, with participants exploring the accuracy of the provided solution and the implications of the signs in the expressions. Some guidance is being offered regarding the potential for errors in the solution manual.

Contextual Notes

There is uncertainty regarding the presence of a minus sign in both denominators, which may affect the interpretation of the problem.

fitz_calc
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I just did a problem that made use of the power rule. Here is the final step:

(1-2x)
-------------
-(x-x^2)^5/4

=

(2x-1)
-------------
-(x-x^2)^5/4


Why did 1-2x become 2x-1 (2x-1 is the answer according to my book)??
 
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Are you sure there's a minus sign in both denominators?
 
yep I'm looking at the solution manual right now...
 
Well, that can't be right. :wink: (I suspect a typo.)
 

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