Mathematical Methods · exponential differentiation · manipulative

The slope of e^x is e^x

Measure the tangent along y = e^x. The slope number is the same as the height of the curve — that is why the derivative is itself.

y = f(x) tangent · measured slope

y = e^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

0.6

Working