Numerical Differentiation

[@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.

[@wisdommulamula8499]

Thank you from South Africa

[@ricky8466]

Thanks! Your explanation so clear and simple

[@silviou11]

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

[@rotshidzwamuligwe5125]

I know it's probably too late but I made the same observation

[@jfoconn]

Nah bc u divide by h

[@lordcasper3357]

yessir it is f3

[@jangortegasuarez2007]

Excellent voice very clear and precise.

[@9wyn]

Thank you 🙏

[@aaronredbear]

This is incredibly helpful!

[@bradm.8373]

Really good explanation! thx man

[@hassnataha9593]

Hasnaa taha watching this great vedio

[@arielediang5381]

Thank you very much. Very clear

[@jhhtaylor]

Wits APPM3021 gang where you at?

[@odayidais9035]

Thank you, Great!

[@kettleghost3721]

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

[@ninatarig7012]

Amazing , thank you .

[@bilgeahras9524]

This is so helpfull thank you!!

[@husnainhyder6713]

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

[@slipperyavocado9457]

it is possible to derive an expression for higher derivatives using the same method with Taylor series, or you can do it recursively

[@olalekejoelifeoluwa3337]

Can you help me solve a question relating to this

[@detoutetderien8530]

Nice vidéo but am not see theres too much light

[@lifeslittleescapes]

Thank hou

[@ahmmadawshaf]

Time waste