Calculus problem

[mpm166]

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?

[Zurtex]

Is it not just a matter or letting in your equation: \varepsilon = \varepsilon + \Delta \varepsilon[/tex]

So you have:

V(x) = x^4 - 4x^3 + (\varepsilon + \Delta \varepsilon)x^2 + \delta x + 5

Differentiating the above with respect to x, knowing that [itex]\delta x = 0 then equalising to 0 and solving for x and rearranging for \Delta \varepsilon? Not entirely sure what the question is asking so not sure.

Although thinking about it you would probably have to show which V'(x) = 0 is the minimum.

[mpm166]

any other suggestions people?
I still seem to be having trouble

[Motifs]

What is your trouble ?