WAIT, WHAT?! DIFFERENTIATING x FACTORIAL x! - Introducing the Digamma Function

Help me create more free content! =)
  / mathable  

Merch :v - https://teespring.com/de/stores/papaf...
https://shop.spreadshirt.de/papaflammy

2nd Channel:    / @rockhardwooddaddy  

Weier Def:    • The Weierstrass Definition of the GAM...  
Gamma Derivation:    • DERIVING THE GAMMA FUNCTION - Combini...  
2=1:    • PROOF 2=1 USING DERIVATIVES?! EASILY ...  

Today we are going to differentiate x factorial! Yes, you are not mistaken, this is actually a thing! At first we take a look at the discrete mathematical equivalent of differentiation, namely the finite difference. After that we use the gamma function's Weierstraß Definition to implicitly differentiate our gamma boi, to end up with the 0-th order polygamma function, the so-called Digamma or Gamma Log Function! Enjoy! =)

My Website: https://www.papaflammy.engineer/

Flammy's subreddit:   / flammybois  

Twitter:   / flammablemaths  

Facebook:   / flammablemaths  

Got some time to spare? Make sure to add captions to my videos! =) http://www.youtube.com/timedtext_cs_p...