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derivative of tetration of x (hyperpower)

625K views · Aug 19, 2018 · Education

Comments · 939

  • @blackpenredpen · 7 days ago · pinned

    10 Derivatives That Separate Experts From Beginners: <a href="https://www.youtube.com/watch?v=i8QUkQ1VI_s">https://youtu.be/i8QUkQ1VI_s</a>

    1

  • @Lagiacrusguy1 · 7 years ago

    “i don’t know how to integrate this so don’t ask me”<br><br>we found his kryptonite

    3.5K

  • @chengzhou8711 · 7 years ago

    Now integrate it

    5.9K

  • @sreekommalapati2032 · 7 years ago

    &quot;Im just gonna put this in the thumbnail to make a little clickbait&quot;<br><br>Transparency

    1K

  • @helio3928 · 7 years ago

    X: This isn&apos;t even my final form!

    487

  • @Sid-ix5qr · 7 years ago

    If you&apos;d put d/dx (x³) for my final exam, you&apos;d be my favourite teacher!

    1.1K

  • @tbonbt8271 · 8 years ago

    For those who&apos;d like to do more research on ⁿa, the notation is called tetration.

    1.8K

  • @coldlogiccrusader365 · 7 years ago

    IU am 66 yrs old. I earned a MS in Mathematical Physics in 1977. I never heard about Tetration till just now &nbsp;THANK YOU so much!!!!!!!!!!!!!!!!!!!!!!!!!

    1.2K

  • @heliocentric1756 · 7 years ago

    &quot;Chen Lu&quot; The Goddess of Derivatives

    225

  • @46pi26 · 8 years ago

    Good use of the Chen Lu; 70/10

    101

  • @MegaPhester · 8 years ago

    I found a nice recursive formula for the derivative of x↑↑n by setting y = x↑↑n, taking the log on both sides and doing implicit differentiation:<br>d(x↑↑n) = x↑↑n * ( d(x↑↑(n-1)) * log(x) + x↑↑(n-1) / x )

    578

  • @TurdFurgeson571 · 7 years ago

    Tetration, not to be confused with titration. I wonder how many chemistry students came here looking for curves and then subsequently ran away because of some light mathing. Love the video. Clear and concise. It&apos;s clear that your professor chops are strong.

    223

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