AP Calculus AB / BC
Graph it in Desmos. Then write the calculus.
Step-by-step calculator techniques for limits, derivatives, and definite integrals — written for students who want the picture, not just the formula.
y = f(x) · y = f′(x)
Guides
Open a topic, follow the Desmos steps, then confirm with algebra.
Limits in Desmos
Approach a value from both sides, graph holes, and check one-sided limits with tables and sliders.
Derivatives in Desmos
Plot f, f′, and tangent lines together. Use d/dx notation and numeric derivative checks.
Integrals in Desmos
Shade definite integrals, compare left/right Riemann sums, and read net vs. total area.
Desmos calculator tips
Sliders, restrictions, folders, and keyboard shortcuts that save time on AP-style graphing.
Quick Desmos reference
d/dx f(x)— numeric derivative of an expression.∫(f(x), a, b)— definite integral from a to b.f(x){0 ≤ x ≤ 3}— restrict a graph to an interval.- Tables + sliders — check one-sided limits and approaching values.
How to use this site
- Graph the given function in Desmos first.
- Sketch what you see: intercepts, holes, extrema, area.
- Write the analytic work. Use the graph only as a check.