[2024/11/06] Derivative with multiple of differential

2 years ago by siriusmart to c/dailymaths

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.

subzero 4 points 2 years 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?

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yetAnotherUser 1 point 2 years ago

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