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.
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.
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
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.
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.
Thank you from South Africa
Hey thanks for this wonderful explanation!
But shouldn't it be f^(3) at 12:27 as f^(2) cancelled out?
Cheers
I know it's probably too late but I made the same observation
Nah bc u divide by h
yessir it is f3
Thanks! Your explanation so clear and simple
12:39 why did the f''' become f'' ?
Thank you 🙏
Excellent voice very clear and precise.
Wits APPM3021 gang where you at?
This is incredibly helpful!
Thank you, Great!
Really good explanation! thx man
Amazing , thank you .
Thank you very much. Very clear
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
it is possible to derive an expression for higher derivatives using the same method with Taylor series, or you can do it recursively
Can you help me solve a question relating to this
Hasnaa taha watching this great vedio
This is so helpfull thank you!!
Nice vidéo but am not see theres too much light
Thank hou
Time waste