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Natural Logarithm — Topic Summaries

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What's so special about Euler's number e? | Chapter 5, Essence of calculus

3Blue1Brown · 2 min read

Exponentials are special in calculus because their derivatives are proportional to the functions themselves—and the constant of proportionality is...

Derivatives of ExponentialsNatural LogarithmBase e

What makes the natural log "natural"? | Ep. 7 Lockdown live math

3Blue1Brown · 2 min read

Prime numbers turn out to be far less rare near a trillion than most people guess—and that “surprise frequency” is tightly linked to the natural...

Prime DensityNatural LogarithmEuler–Mascheroni Constant

Real Analysis 39 | Derivatives of Inverse Functions [dark version]

The Bright Side of Mathematics · 2 min read

A general rule links the derivative of a function to the derivative of its inverse: when an inverse exists and behaves continuously at the...

Inverse DerivativesNatural LogarithmReciprocal Slopes