I got diagnosed with ADHD when I was 6 and still concluded I am stupid, weak, annoying, and unlovable.
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Cake day: March 6th, 2025
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5inister ( 5inister@reddthat.com ) to
Math Memes@lemmy.blahaj.zone•The error must be associated with the limitations on the application of derivatives!English
6·1 year agoIs d/dx x^2 really equal to d/dx (x+x+x+…+x)? Inserting some value for x seems to break that part. Say x=5:
d/dx 5^2=10 and
d/dx (x+x+x+x+x)=d/dx 5x=5
10 ≠ 5
I understand that x^2, (x+x+x+…+x), and x*x are the same. But its equivalent to doing d/dx x*x =x as d/dx n*x=n. Again this results in 2x=x or 2=1.
The mistake is to treat a variable as a constant and deriving in that way. Doing a sum x times means you have an unaccounted variable when you do d/dx (x+x+x+…+x), this is not 1+1+1+…+1 x times. i.e. The rate of change of one of the x is not incorporated into the derivative.

Masturbation
among birdsis ‘natural’ and should not be punished. It’s interesting how humanity has regulated its own biological behavior, we have rules for where and how to eat, sleep, defecate, urinate, menstruate, reproduce, masturbate, etc. I get that some of these came from hygiene and personal safety but still find it weird, and even weirder that some people expect birds to follow our social constructs.