derivative of ln(x) vs derivative of ln(abs(x))

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Thanks to Raoul from Indonesia! This problem stumped me, but I persisted and eventually figured it out. The key was thinking inside the box!

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Read the Nature paper for yourself:
"Scutoids are a geometrical solution to three-dimensional packing of epithelia"
https://www.nature.com/articles/s41467-018-05376-1

Thanks to Laura and Clara for helping me with the video!

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In this video, I calculate the half-derivative of ln(x) using the definition of the fractional derivative given in a previous video. Warning: The answer is NOT constant times 1/sqrt(x)

Answering where f is increasing, decreasing, local min/MAX, concave up, concave down, and point of inflection from the graph of f'(x) Please subscribe for mo...

The symmetric derivative of abs(x) at x=0,

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My simple setup: 😃 https://youtu.be/IKk7k…

related rates, heating up a circular metal plate,
Related rates example, this problem is taken from Single Variable Calculus, by James Stewart, 8th Ed, early transcendental,
For file, please see https://blackpenredpen.com/calc1
For playlist, see https…

Practice#2, https://youtu.be/A45rzfoqveE ,
For file, see https://blackpenredpen.com/calc1 ,
Solution playlist (with unlisted videos) https://www.youtube.com/playlist?list=PLj7p5OoL6vGyMA4ry3PU4d_vIbD2qObSY&disable_polymer=true



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related rates, water rising in an inverted circular cone,
Related rates example, this problem is taken from Single Variable Calculus, by James Stewart, 8th Ed, early transcendental,
For file, please see https://blackpenredpen.com/calc1
For playlist, see…