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Lesson 6 of 20 · about 16 min

Exponentials, e and logarithms

Some things change at a rate proportional to their size. Money earns interest on its interest, bacteria multiply, and the pool fills fastest when it's emptiest. All of them are described by one special number, e = 2.718…, and the function eˣ, which is its own derivative. You'll discover e from compound interest, trace eˣ's slope, and use logarithms to answer "how long until…?" questions for the park.

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In this lesson you'll learn:

  • e and the exponential function
  • Natural logarithm

Free to try in F09 Calculus for CS:

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