← All courses Calculus I practice problems 500 practice problems, organized by chapter and topic.
A first calculus course covering limits and continuity, the differentiation rules, and applications like related rates and optimization, finishing with antiderivatives and basic integration.
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See a sample question Section 2.4: Quotient Rule.
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Quotient Rule · Sample question What is in this course? Follow the topics in order, or find the section you are studying now.
1 Limits 112 practice problems
1.1 Limit Laws and Direct Substitution 10 problems 1.2 Limits by Factoring 10 problems 1.3 Limits by Conjugates 10 problems 1.4 One-Sided Limits 10 problems 1.5 Evaluating Limits from Graphs 14 problems 1.6 Infinite Limits and Limits at Infinity 10 problems 1.7 Trigonometric Limits 8 problems 1.8 The Epsilon-Delta Definition 8 problems 1.9 Limits by the Squeeze Theorem 10 problems 1.10 The Intermediate Value Theorem 8 problems 1.11 Limits and Continuity 14 problems 2 Derivatives 163 practice problems
2.1 Derivatives by the Limit Definition 17 problems 2.2 Power Rule 13 problems 2.3 Product Rule 12 problems 2.4 Quotient Rule 12 problems 2.5 Tangent and Normal Lines 12 problems 2.6 Kinematics with Derivatives 12 problems 2.7 The Chain Rule 20 problems 2.8 Implicit Differentiation 17 problems 2.9 Trigonometric Functions 16 problems 2.10 Logs and Exponentials 16 problems 2.11 Inverse Functions and Inverse Trigonometric Derivatives 16 problems 3 Applications of Derivatives 133 practice problems
3.1 Related Rates 20 problems 3.2 Optimization Problems 25 problems 3.3 Newton's Root Finding Method 12 problems 3.4 L'Hopital's Rule 16 problems 3.5 Extrema and the Mean Value Theorem 20 problems 3.6 Monotonicity, Concavity and Curve Sketching 25 problems 3.7 Linear Approximation and Differentials 15 problems 4 Integrals 92 practice problems
4.1 Basic Integrals 15 problems 4.2 Integration Formulas 12 problems 4.3 U-Substitution 17 problems 4.4 Area Between Curves 12 problems 4.5 Definite Integrals and Riemann Sums 11 problems 4.6 Fundamental Theorem of Calculus 15 problems 4.7 Trapezoidal and Simpson Rules 10 problems Ready to start practicing? Your 14-day trial includes every published course.
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