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When is the derivative of area the perimeter?

A lot of people notice that for a circle, the derivative of area is circumference. Can we make something work for other shapes? Yes! Follow me on Instagram for more content, video previews, behind-the-scenes:   / epicmathtime   "Fireside" Instrumental by Homage    / homage253  

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Why is there no equation for the perimeter of an ellipse‽
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Why is there no equation for the perimeter of an ellipse‽

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Hilbert's Curve: Is infinite math useful?

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What Lies Between a Function and Its Derivative? | Fractional Calculus

Derivative of Area is Perimeter?
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Derivative of Area is Perimeter?

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If Prime Numbers Become Increasingly Rare, Then Why Do They Keep Showing Up In Pairs?

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The essence of calculus

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When Math Isn’t Based in Reality

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The Beauty of Bézier Curves

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The Integral Explained Better Than School Ever Did

But why is a sphere's surface area four times its shadow?
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But why is a sphere's surface area four times its shadow?

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Fundamental Theorem of Algebra - Numberphile

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This math trick from Euler was ingenious

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The Infinite Pattern That Never Repeats

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When Genius Teens Destroy Corrupt Cops

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The Craziest Coding Contest Ever

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The Golden Ratio (why it is so irrational) - Numberphile

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The meme hiding surprisingly advanced math

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4000 ELO BOT CRUSHED STOCKFISH

Is this one connected curve, or two? Bet you can't explain why...
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Is this one connected curve, or two? Bet you can't explain why...

2026 MIT Integration Bee - Finals
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2026 MIT Integration Bee - Finals

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