Numerical Differentiation

Walks through the derivation of numerical differentiation using the Taylor Series.

[wyattb]

Professor made the exam to take two points behind and 1 point ahead to calculate the derivative. Super interesting, and I trusted the process and got it correct.

[MrHaggyy]

Good explenation. For the central difference term i would show that shifting the line between i+1 and i-1 onto the point of i does look like a better approximation of a derivative. Especially in a local maxima or minima where the curvature is big. Also illustrates nicely how the central difference is the mean of forward and backward difference and that adding both taylor series and deviding by two is the same. Which is a great technique for further stuff.

[silviou]

Hey thanks for this wonderful explanation!
But shouldn't it be f^(3) at 12:27 as f^(2) cancelled out?
Cheers

[ricky]

Thanks! Your explanation so clear and simple

[jangortegasuarez]

Excellent voice very clear and precise.

[kettleghost]

12:39 why did the f''' become f'' ?

[husnainhyder]

Dear Sir
This is great
but how will you use this to find higher order central derivatives and by higher order central derivatives i mean third, forth, fifth etc derivatives.
Thanks

[olalekejoelifeoluwa]

Can you help me solve a question relating to this

[detoutetderien]

Nice vidéo but am not see theres too much light