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.

1 Comments
subzero@lemmy.dbzer0.com · 4 pts · 1y
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?
yetAnotherUser@discuss.tchncs.de · 1 pts · 1y