Çözüldü Kübik Polinomlarda Büküm Noktasının Simetri Merkezi Oluşunun İspatı

https://i72.servimg.com/u/f72/19/97/10/39/cubic_10.png
https://scontent.fayt2-1.fna.fbcdn....=53042ac7716ddcb0ace92deb133db8f1&oe=5F15ED1F
https://www.facebook.com/photo.php?fbid=150570223262595&set=gm.3669595069722498&type=3&theater

Aşağıdaki ispatı okuyup problemde verilen denklemin katsayılarıyla karşılaştırarak anlamak ve dönüm noktasını (inflection point) bulmak, ilgilenen öğrencilere ödev. Anlaşılamayan bir şey olursa haberimiz olsun.

https://i72.servimg.com/u/f72/19/97/10/39/proof10.png
http://mzone.mweb.co.za/residents/profmd/cubics.pdf
(Sayfa 4)
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Ek Bilgi ve Kaynaklar:
"The graph of a cubic function is symmetric with respect to its inflection point, and is invariant under a rotation of a half turn around the inflection point."
https://en.wikipedia.org/wiki/Cubic_function

"There is a class of polynomials of single variable which are symmetric relative to a point and in fact the point of symmetry is always an inflection point."
https://www.tandfonline.com/doi/abs/10.1080/002073999287590?journalCode=tmes20