Calculus I practice problems

A first calculus course covering limits and continuity, the differentiation rules, and applications like related rates and optimization, finishing with antiderivatives and basic integration.

1. Limits

   21 problems
   • Limits by Factoring5
   • Limits by Conjugates5
   • Limits by the Squeeze Theorem5
   • Limits and Continuity6

2. Derivatives

   48 problems
   • Derivatives by the Limit Definition5
   • Power Rule5
   • Product Rule5
   • Quotient Rule5
   • Tangent and Normal Lines4
   • Kinematics with Derivatives4
   • The Chain Rule5
   • Implicit Differentiation5
   • Trigonometric Functions5
   • Logs and Exponentials5

3. Applications of Derivatives

   14 problems
   • Related Rates3
   • Optimization Problems3
   • Newton's Root Finding Method3
   • L'Hopital's Rule5

4. Integrals

   15 problems
   • Basic Integrals5
   • Integration Formulas5
   • U-Substitution5

5. Applications of Integrals

   3 problems
   • Area Between Curves3