The Derivative of a Sum

[wqltr]

When you started deriving f'(x) using first principles right at the start I literally had a vision, and I saw the maths all in front of me and then I saw the conclusion. I think I've been binge watching maths to much lol.

[cobyambrose]

I love your teaching but I clicked on the video, thinking that he was teaching how to differentiate a summation (sigma notation)

[giridharage]

Very nice. Learning with fun. Thank you Mr.Eddie Woo.

[visheshtagangwar]

Very well explained ☺️
Love form India 🇮🇳

[AllanAquinoVieira]

You channel is great it is probably the most fun I had watching a math class. Please make some videos on single and multi variable calculus. Things like trigonometric substitution and the harder concepts.

[TuanNguyen-suty]

Thanks for give my the key point: "The derivative of the sum is the sum of derivative"

[iogamma]

I know this is correct, but the proof is based on the fact that the limit of x^2 +1 is the limit of x^2 plus limit of 1. That may be true, but just because it applies to x^2 + 1, how does that rule apply to any two general functions u(x) and v(x)? The only conclusion I can draw is that the derivative of the sum is the sum of the derivative if u(x) = x^2 and v(x) = 1. Put it another way, if there was no 'simple' example of limit of x^2 +1, how would you resolve the third line of f'(x) =

[Suchega_Uber]

Great at teaching, poor at making youtube playlists that go in the correct order.

[cluckeryduckery]

Could've really used you in undergrad, man lol

[xuepingsong]

the problem with this method is that the limit of f(x) is a constant not a variable