Mathematical Methods · logarithmic differentiation · manipulative

The slope of ln x is 1/x

The tangent on y = ln x gets flatter as x grows — and that slope number is exactly 1/x.

y = f(x) tangent · measured slope

y = ln x — tangent at x

Slope record — the value of that slope, plotted at x

Drag along the top graph, or press Sweep — the dots stay behind as a record

Point x

1

Working