Calculus Practice Test: basic derivatives, derivative definition, difference quotients, graph and table derivatives, power rule, and derivative word problems.
This test has 20 questions
This free Derivative from First Principles Practice Test contains 20 multiple-choice questions and does not require registration. The questions are written for Calculus Practice Test review and focus on derivative rules, derivative definitions, tangent and normal slopes, graph/table derivative interpretation, and implicit differentiation.
Each question has four answer choices, one correct answer, and a detailed explanation that shows the calculation, theorem, derivative rule, integral setup, or graph interpretation needed to solve it.
The questions are medium-level calculus problems. Depending on the page topic, students may evaluate limits, test continuity, differentiate functions, write tangent lines, analyze extrema and concavity, solve optimization or related-rates problems, compute definite integrals, estimate area, or solve simple differential equations.
Common errors include substituting into a 0/0 limit too early, forgetting one-sided behavior, missing the inner derivative in the chain rule, confusing tangent and normal slopes, testing the wrong intervals for extrema, omitting dx in an integral setup, or using the wrong endpoint in a Riemann sum.
Use this free 20-question Calculus Practice Test for classroom review, AP Calculus preparation, college calculus practice, or independent study. You can complete and retake the test without creating an account.