[2024/11/06] Derivative with multiple of differential (lemmy.world)

submitted 16 hours ago* (last edited 16 hours ago) by siriusmart@lemmy.world to c/dailymaths@lemmy.world

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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.

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[-] subzero@lemmy.dbzer0.com 4 points 9 hours ago* (last edited 9 hours ago)

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?

this post was submitted on 06 Nov 2024

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