From line to powers to roots | Power Curve Visualized #manim #maths #geometry #mathematics

How do the graphs of y = xⁿ and y = x^(1/n) change as n goes from 1 to 20?

🔹 Powers get steeper and sharper
🔹 Roots get smoother and closer to y = x
🔹 Beautiful symmetry as the curves evolve

This short animation shows both — side by side — from squares to 20th powers and 20th roots.

Created using Python + Manim.
Part of the History of Curves series.

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Видео From line to powers to roots | Power Curve Visualized #manim #maths #geometry #mathematics канала MonkeyFace