Mathematical Methods · calculus of trigonometric functions · manipulative

The slopes of the curve trace out its derivative

Sweep the tangent along sin or cos — or reshape a sin(bx+c)+d. Every slope you measure gets dropped as a dot below.

y = f(x) tangent · measured slope

y = sin 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 (radians)

0.6
1
1
0
0

Working