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Calculus of logarithmic functions

Use the rules 𝑑 𝑑𝑥ln(𝑥) = 1 𝑥 and 𝑑 𝑑𝑥ln(𝑓(𝑥)) = 𝑓′(𝑥) 𝑓(𝑥).

mm-u3-t1-s2-d4

Interactive

The derivative of ln x is 1/x

manipulative

Sweep a tangent along y = ln x — the measured slope matches 1/x; for ln f(x) the chain is f′/f.

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