1 Functions and graphs
29 practice problems
- 1.1 Function notation, domains, and composition10 problems
- 1.2 Piecewise functions and graph features9 problems
- 1.3 Trigonometric, exponential, and logarithmic review10 problems
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Antiderivatives and definite integrals · Sample question
BC Math 12 Calculus practice problems
300 practice problems, organized by chapter and topic.
British Columbia Calculus 12: functions, limits, derivatives, applications, integrals, and differential equations. 300 practice problems with graphs, tables, and easy, medium, and hard questions.
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Section 6.1: Antiderivatives and definite integrals.
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2 Limits and continuity
49 practice problems
- 2.1 Limits from graphs and tables10 problems
- 2.2 Algebraic limits11 problems
- 2.3 One-sided limits and infinite limits10 problems
- 2.4 Limits at infinity and asymptotes9 problems
- 2.5 Continuity and the intermediate value theorem9 problems
3 Derivatives and differentiation rules
52 practice problems
- 3.1 Average rate, instantaneous rate, and the derivative definition11 problems
- 3.2 Power, sum, and constant rules11 problems
- 3.3 Product and quotient rules11 problems
- 3.4 Chain rule10 problems
- 3.5 Higher-order derivatives and motion9 problems
4 Trigonometric, exponential, and implicit derivatives
36 practice problems
- 4.1 Trigonometric derivatives9 problems
- 4.2 Exponential and logarithmic derivatives9 problems
- 4.3 Implicit differentiation9 problems
- 4.4 Inverse trigonometric and logarithmic differentiation9 problems
5 Applications of derivatives
55 practice problems
- 5.1 Tangent lines and linear approximation9 problems
- 5.2 Increasing, decreasing, and extreme values9 problems
- 5.3 Concavity, inflection points, and graph relationships9 problems
- 5.4 Mean value theorem and Newton method9 problems
- 5.5 Related rates9 problems
- 5.6 Optimization10 problems
6 Integrals and the fundamental theorem
37 practice problems
- 6.1 Antiderivatives and definite integrals9 problems
- 6.2 Rectangle and trapezoidal approximations9 problems
- 6.3 Fundamental theorem and substitution10 problems
- 6.4 Exponential integrals and integration by parts9 problems
7 Applications of integrals
26 practice problems
- 7.1 Area under and between curves9 problems
- 7.2 Average value, displacement, and distance9 problems
- 7.3 Volumes by disks and washers8 problems
8 Differential equations and initial values
16 practice problems
- 8.1 Differential equations and initial values8 problems
- 8.2 Slope-field reasoning8 problems
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