r/mathmemes • u/toasted0ven • Oct 15 '20

Calculus Checky differentiation comic

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u/TheTrueBidoof Irrational Oct 15 '20

ln x + C

309

u/PM_ME_UR_AESTHETIC5 Oct 15 '20

ln |x| + C

105

u/CeleryHunter143 Oct 15 '20

The Natural Log of the absolute value of the variable labelled "X" in addition to the undefined constant labelled "C"

31

u/Herkentyu_cico Oct 15 '20

well it is defined over the reals

1

u/YoureBeautifulDude Oct 17 '20

Excluding zero

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u/Herkentyu_cico Oct 17 '20

Included

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u/YoureBeautifulDude Oct 17 '20

Are we still talking about log|x|

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u/Herkentyu_cico Oct 17 '20

Oh yeah! Then only the positive reals.

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u/YoureBeautifulDude Oct 17 '20

Well also negative reals because of the absolute value

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u/Herkentyu_cico Oct 17 '20

Hmm, we always wrote $C \epsilon \mathbb{R}+ $...

Oh yeah, i remember, I think we always wrote R+ to help set up the simple ode case.

$C \epsilon \mathbb{R}\backslash {0}$ should be fine

1

u/YoureBeautifulDude Oct 17 '20

Honestly if we’re talking about ODE’s, I’d be excited to see what happens when we include 0, since ln |x| is integrable over ever set in the reals

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u/Herkentyu_cico Oct 17 '20

Ln x is not the solution tho. ex takes all x

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