Fun Stuff > CHATTER
Can't Think of a Breaking Bad Pun For the Title: Let's Do Some Math!
Pilchard123:
From the top of my head...
Differentiate y = right-hand side.
The maxima/minima will be where dy/dx = 0.
To find out if those points are maxima or minima, calculate d2y/dx2 at those points. It it is negative, then the point is a maximum (that is the right way around). If it is positive, then d2y/dx2 will be positive.
(This gets funny when there is a point of inflection around)
ankhtahr:
I don't think we're allowed to use differentiation. We're only allowed to use stuff we've proven. And I don't want to prove differentiations for this one exercise.
A classmate just wrote me she found a solution. She didn't tell me yet, but I'm interested.
Loki:
--- Quote from: ankhtahr on 27 Oct 2013, 11:30 ---
--- End quote ---
--- Quote from: Loki on 27 Oct 2013, 09:07 ---I wish to use this opportunity to declare my hatred towards absolute-value inequalities.
--- End quote ---
That said, multiply both sides by the denominator. This does not change the unequality sign, because 1+x² is >0 in real numbers. Then use this site:
http://www.purplemath.com/modules/absineq.htm
ev4n:
Friday's xkcd was great. Got to love Bayes theorem for messing with people.
ankhtahr:
All this math stuff is a little bit too fast for me. Problem is that I'm from a state where they have a slightly different focus than in most other states of Germany.
On Thursday I'll need to hand in the first exercise sheet from advanced mathematics. And these damn exercises are damn hard. Here's an example:
I have to examine the following sets for supremum, infimum, minimum and maximum, and prove everything. I'm not allowed to use differentiation and such. I also have to prove that the results I have are correct.
I mean, I can see that there's 2 = min A, but I have no idea how to prove it.
I've never in my life proven something in a mathematical sense, so I don't even know how to start.
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