[2024/11/06] Derivative with multiple of differential
Yeah I can't lie, there is no calling this a daily challenge now.
Anyhow, have a go at proving this, I don't want any unrigorous "imagine zooming in until the line is straight" nonsense.
Difficulty: not a lot
Would appreciate if u put ur proofs or attempts below, I got a proof but it's like kinda mediocre.
Substitute u = ah, rewrite to a × (standard def of derivative with u -> 0)? Lim h -> 0 implies u-> 0 (easily prooven using epsilon delta), so I think that should suffice?