Walks through the derivation of numerical differentiation using the Taylor Series.
Пікірлер: 24
@MrHaggyy Жыл бұрын
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.
@ricky84663 жыл бұрын
Thanks! Your explanation so clear and simple
@wisdommulamula84994 жыл бұрын
Thank you from South Africa
@aaronredbear2 жыл бұрын
This is incredibly helpful!
@jangortegasuarez20074 жыл бұрын
Excellent voice very clear and precise.
@ninatarig70122 жыл бұрын
Amazing , thank you .
@arielediang53813 жыл бұрын
Thank you very much. Very clear
@bradm.83733 жыл бұрын
Really good explanation! thx man
@odayidais90354 жыл бұрын
Thank you, Great!
@9wyn5 жыл бұрын
Thank you 🙏
@bilgeahras95244 жыл бұрын
This is so helpfull thank you!!
@silviou114 жыл бұрын
Hey thanks for this wonderful explanation! But shouldn't it be f^(3) at 12:27 as f^(2) cancelled out? Cheers
@rotshidzwamuligwe51254 жыл бұрын
I know it's probably too late but I made the same observation
@jfoconn2 жыл бұрын
Nah bc u divide by h
@lordcasper3357 Жыл бұрын
yessir it is f3
@jhhtaylor4 жыл бұрын
Wits APPM3021 gang where you at?
@hassnataha95933 жыл бұрын
Hasnaa taha watching this great vedio
@kettleghost37212 жыл бұрын
12:39 why did the f''' become f'' ?
@lifeslittleescapes4 жыл бұрын
Thank hou
@husnainhyder67134 жыл бұрын
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
@slipperyavocado94573 жыл бұрын
it is possible to derive an expression for higher derivatives using the same method with Taylor series, or you can do it recursively