Visual Derivative Definition!
Mathematical Visual Proofs
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I animate and provide some explanation for classic and newer "proofs without words," which are typically diagrams without any words that indicate how a theorem could be proved. I often pay homage to Proofs Without Words by including some animations without narration (only dramatic music :) ). I have also noticed that while there are many wonderful visual proofs available on YouTube, most of the creators do not credit the original visual proofs. I will do my best to include links and citations for each visual proof so that you can track down the original static images, which have a beauty and a wonder all their own. I create my animations using the amazing software Manimgl from 3Blue1Brown. If you want to buy me a coffee, you can do that here: https://www.buymeacoffee.com/VisualProofs
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Video Description
This video animates the idea behind the derivative of a function. We show how to think about the definition of the derivative of a function visually by using a limiting process of slopes of secant lines to obtain the slope of the tangent line (which measures the instant rate of change of a function at a point). #manim #calculus #derivatives #derivative #tangentline #slope #parabola #mathvideo #mathshorts #math #visualmath #graph #linearapproximation #secantline #instantrateofchange #averagerateofchange
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