#differential

32 messages · Page 1 of 1 (latest)

tidal hamlet
dusk craneBOT
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potent lantern
tidal hamlet
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Should I d/dx the first function?

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Or just 1/(x-1) =t

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Sint/t

potent lantern
tidal hamlet
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At x=1 i am not sure

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Limit is 0

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At x=0 it looks break too

potent lantern
# tidal hamlet At x=0 it looks break too

Yeah, at x = 0 it isn't continuous, so it isn't differentiable there, either.
As for x = 1, try just substituting it. Do you get an expression you can evaluate without using limits?

tidal hamlet
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@potent lantern

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Sorry for ping

potent lantern
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Well, in any case, that is undefined by itself. So, doesn't exist.

tidal hamlet
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Is this correct sir?

potent lantern
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Thus, f(x) is undefined for x = 1. So, also not differentiable there.

tidal hamlet
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X=1 should be defined first

potent lantern
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However, what I think happened here is that these are supposed to be 1, not 0.

image.png
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If we change those to 1, then the given answer would be correct.

tidal hamlet
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Surely yes true

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Thanks ❤️

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Because the condition x=1 will be 0 will fill our hole

potent lantern
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Well, the function will become continuous at x = 1. However, it still won't be differentiable there.

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Try proving that.

tidal hamlet
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@potent lantern

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Check

potent lantern
# tidal hamlet

Well, rather, the limit doesn't exist. But yeah, in any case, the derivative doesn't exist at x = 1.

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No worries, you'll get better with practice.

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You're welcome!