Taylor Expansion

https://www.desmos.com/calculator/oiexhzavjp

• This visualization is the easiest to understand.

  • (Easy to grasp intuitively)

• https://syarunikki.com/taylor-expansion/

  • Use this to understand mathematics.

• There are various elements, so when you say “Taylor expansion,” it refers to many different things and can be confusing.

  • It’s an expansion when there is a slight deviation.
    • https://eman-physics.net/math/taylor.html
    • 
  • Expansion for multiple variables
    • https://eman-physics.net/math/taylor_multi.html
    • Basically, you differentiate each variable and add them together.
  • The meaning of the calculation seems to be graspable by looking at the specific image of Total Differential (from yobinori).
    • If you multiply the change in x by the slope obtained by differentiation, you get the change in f.
    • Ahh, I understand now (blu3mo)(blu3mo)(blu3mo)
      • In fact, I realized that I didn’t understand the mechanism of Taylor expansion until now.

#mathematics#differentiation