Calculus Practice
AP Calculus AB, Interactive Practice
10 auto-graded practice problems covering key AP Calculus AB topics. Select an answer, submit, and review the explanation.
Limits
Intuition: Limits tell you what value a function approaches as the input gets closer and closer to a target value, even if the function never actually reaches that value.
Common Mistakes:
- Confusing the limit value with the function value
- Forgetting to check both left-hand and right-hand limits
- Applying L’Hopital’s rule without verifying the indeterminate form
Derivatives
Applications of Derivatives
Integration
Cross-References
- Limits and Continuity: Limits are the foundation, understanding behaviour near points.
- Derivatives: Instantaneous rates of change and slope of tangent lines.
- Integrals: Accumulation, area under curves, and the Fundamental Theorem of Calculus.
Detailed Content
Core Concepts
Worked Examples
Common Mistakes
- Rushing through foundational material
- Not practising problems after reading
- Failing to connect concepts across topics