Calculus I Sprint: Derivatives and Limits: Derivatives Game for Grades 11‑college

Run laps of derivatives, limits, tangent lines, optimization and related rates.

A Calculus I practice sprint for college students and advanced high school students. Freshly generated questions cover the power, chain, product and quotient rules, derivatives at a point, tangent lines, second derivatives, limits by factoring and at infinity, special limits, continuity, critical points, absolute extrema, optimization, implicit differentiation and related rates. Choose Derivative Basics, Calculus I or Honors, play timed (pace bar, three lives) or untimed (12 questions, no clock), and read a worked explanation after every miss. All questions are original and every answer is checked in code; not affiliated with or endorsed by any testing organization.

Play Calculus I Sprint: Derivatives and Limits

Free. No signup. About 8 minutes per round.

Artwork for the math game Calculus I Sprint: Derivatives and Limits
Grade 11 Grade 12 College derivatives limits chain rule product rule quotient rule tangent lines optimization related rates implicit differentiation continuity critical points calculus

Practice questions are original. SAT, ACT and other test names belong to their owners; MathSchools is not affiliated with or endorsed by them.

What you practise

Calculus I Sprint: Derivatives and Limits gives students repeated, low-pressure practice with derivatives, limits, chain rule, product rule, quotient rule, tangent lines, optimization, related rates, implicit differentiation, continuity, critical points, and calculus. It is written for grades 11-college, with levels that let younger and older players start at the right difficulty. Every question is generated fresh, so a replay is never the same, and a wrong answer shows the correct one so the round teaches as well as tests.

How it plays

Controls: Pick Timed or Untimed, then a level. Tap an answer or press 1-4. On a type-in question, type a whole number, a fraction like -3/4 or a decimal and press Enter. After a miss, press Enter or the Next button. P or Esc pauses (timed), M mutes.

It works with a keyboard, a trackpad or a touch screen, so it runs on school Chromebooks, tablets and phones.

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