[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.

17 points · 1 comments · view on lemmy.world

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
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