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Paul Arnheim-Projekt @paula-projekt.bsky.social

There is more of it since polynomials are just building instructions for n-dimensional cuboids. The 1st derivative equals half of the boundaries of such a cuboid. Epsilon go home! How to find the x value of the vertex/middle inflection point easily f(x)=a1x^n+a2x⁽n-1)+...+a(n+1)x⁰ It is -a2/n*a1

This LEGO cuboid represents f(x)=(x+0)(x+3)(x-1) =x³+2x²-3x the + sign represents the directions forward and right, the - sign represents drawn with this ingenious tool/toy: https://www.matheretter.de/rechner/gfplot Calculus of f(x)=x³+2x²-3x (blue graph), f'(x), pink, f''(x), turquoise, f'''(x), green, F(x), purple Calculus of polynomials without epsilon Half of the boundaries of an n-dimensional cuboid represent the slope of the graph of the corresponding function! One x² represents one third of half the boundaries of a cuboid AND the area between function graph and x-axis, the antiderivative. It is shockingly simple, isn't it?
dec 3, 2024, 8:38 am • 3 0

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