Simulation

Derivative & Tangent Simulator

Derivative · slope · tangent line · rate of change

Learning outcomeConnect the derivative at a point with the slope of the tangent line.

Interactive model

Quadratic coefficient0.15Point x2.00Vertical offset0.00

Tangent slope0.600

Point(2.00, 0.60)

Derivativef′(x)= 0.30x

Learning focus

Move the point along a curve and compare secant intuition with the instantaneous tangent slope.

for f(x)=ax²+c, f′(x)=2ax