Differentiate x^(1/x), twice and fast!

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second derivative of x^(1/x),

blackpenredpen,
math for fun,

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After 20 sec I looked up my speed settings whether I somehow changed it to 1.25x :D

HimmDawg

Question from a subscriber: So, when will you finally switch to a Lavalier Microphone? It will free up your hands and improve sound quality. 😎

DonSolaris

There was some further simplification, you could have simplified 2x ln(x) - 2 ln(x) to (2x - 2) ln(x)
pd.: CHEN LU

gnikola

bro, I had to use 0.75x speed settings for this one, and that comes from a seasoned engineer who actually understands the explained method already, and regularly uses 1.5x-1.75x settings on 90% of other channels. sick O.O

mygoogleacount

Fast maths for hungry subscribers! Happy meal!

andresxj

I love the fast pace of this video! It makes it really exciting!

Gairhoth

OK, now determine any points of inflection. :)

chiprollinson

any way we see some extreme integration? perhaps you could show us the integral of sin(sin(x))dx. anyways, great video as always

use the chain lu!

me_lolo

Never thought derivatives could be funny. Thanks Dr. Peyam

Re-lxmd

Amazing Nice Explanation Sir.😍😍👌👌👌👌👌👍👍👍👍👍

Magic

this dude is speaking faster than my computer processing speed.

adhitya

Hi Steve,
I was discussing this technique with my friend, and sure it was fascinating, but we are not sure why and how it came to be. Can you explain why this technique works and the underlying principles of this technique?

dinhkhoa

blackpenredpen doin so much algebra level math he had to get his quick fix of higher-level calculus. AWW YEAH FEEL THE RUSH BABY!! :P

calyodelphi

Why not make the last step in the second derivative as The first derivative could be written as x^(1/x-2)(1-ln(x)).

justabunga

Could've been further reduced/simplified. But, otherwise, nice work.

MarkMcDaniel

why does the 2nd deriv have such a sharp maximum at x=0.342

MichaelJamesActually

wait a second!! you used magic at the end how can I make sure you haven't used magic while doing the question :0

sansamman

[lnx(lnx + 2x - 2) - 3x + 1] / x^(4 - 1/x)

josephlauletta

Ok I understand the algebra part, but what that means?

megacarlosloki

faster next time pls 2x setting on youtube isn't enough

Ocklepod

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