Interactive graph collection

AP Calculus AB

7 applets
Desmos graph showing a tangent line to a function at x equals aOpen in Desmos ↗

Tangent Line to f(x) at x = a

Move the point of tangency and connect the derivative to the slope of the tangent line.

Desmos graph illustrating the Mean Value Theorem with secant and tangent linesOpen in Desmos ↗

Mean Value Theorem

Compare an interval’s average rate of change with the matching instantaneous rate of change.

Desmos notebook showing a region and the solid formed by revolving itOpen in Desmos ↗

Solid of Revolution

See a two-dimensional region become a three-dimensional solid through rotation.

Desmos graph showing rectangles approximating area under a curveOpen in Desmos ↗

Rectangle Riemann Sums

Adjust the number of rectangles and watch an area approximation become more precise.

Desmos graph showing signed Riemann sum rectangles above and below the x-axisOpen in Desmos ↗

Riemann Sums

Explore rectangular approximations and the role of signed area in a definite integral.

Desmos graph comparing left and right endpoint Riemann sumsOpen in Desmos ↗

Right and Left Riemann Sums

Contrast left- and right-endpoint estimates on the same function and interval.

Desmos graph showing a secant line approaching a tangent lineOpen in Desmos ↗

Secant Line → Tangent Line

Watch a secant line approach a tangent line as the two points move together.

Interactive graph collection

Precalculus Honors

1 applet
Desmos graph showing a curve generated by parametric equationsOpen in Desmos ↗

Parametric Equations

Trace a curve through paired coordinate functions and explore how the parameter shapes its path.