Mathematical Methods · differential calculus · manipulative

Derivative = gradient of the tangent

Drag the point along y = f(x). The tangent line turns with you — its slope is exactly f′(x) at that point.

y = f(x) tangent

Drag the point on the curve · scroll zoom · drag background to pan · Shift+drag an axis to dilate

Point x

0.5

Tangent slope

f′(x)
0

Working