Solving Calculus Challenge Problem - Part A & B Answered

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Homework Help Overview

The discussion revolves around a calculus challenge problem, specifically focusing on parts c and beyond after the original poster successfully addressed parts a and b. The problem appears to involve differentiation and potentially finding critical points of a given function.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss the differentiation of a function and the implications of setting the derivative to zero. There is uncertainty about the requirements of the problem, particularly regarding the interpretation of the question and the role of certain variables.

Discussion Status

The conversation is ongoing, with participants seeking clarification and additional suggestions. Some guidance has been offered regarding differentiation and critical points, but there is no clear consensus on the next steps or the interpretation of the problem.

Contextual Notes

There is mention of specific variables and equations, but the original poster expresses confusion about the overall question, indicating a potential lack of clarity in the problem statement or setup.

mpm166
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I have this calculus challenge problem (found here: http://firstyr.appsci.queensu.ca/apsc171/chall1.pdf )

I was able to answer part a and b, however I am unsure how to approach c and onwards

does anyone have any suggestions?
 
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Is it not just a matter or letting in your equation: [itex]\varepsilon = \varepsilon + \Delta \varepsilon[/tex]<br /> <br /> So you have:<br /> <br /> [tex]V(x) = x^4 - 4x^3 + (\varepsilon + \Delta \varepsilon)x^2 + \delta x + 5[/tex]<br /> <br /> Differentiating the above with respect to x, knowing that [itex]\delta x = 0[/itex] then equalising to 0 and solving for x and rearranging for [itex]\Delta \varepsilon[/itex]? Not entirely sure what the question is asking so not sure.<br /> <br /> Although thinking about it you would probably have to show which V'(x) = 0 is the minimum.[/itex]
 
any other suggestions people?
I still seem to be having trouble
 
What is your trouble ?
 

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