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Calculus 1 · Printable PDFs

Calculus 1 Worksheets with Answer Keys

Printable Calculus 1 worksheets, quizzes and chapter tests, each with a full answer key. Every worksheet matches a free lesson on math.wiki. Chapter 1 is free to download. The full Calculus 1 course, lesson by lesson ›

71 worksheets29 quizzes10 tests6 exams71 lesson handouts

1 of 10Limits and continuity

1

Limits and continuity

Free sample

1.1What a limit is: graphs and tables worksheet5 problemsPreview Handout PDF Answer key

Quiz 1A4 questions, lesson 1.1PDF Answer key

1.2One sided limits and when a limit exists worksheet6 problemsPreview Handout PDF Answer key

1.3The limit laws worksheet6 problemsPreview Handout PDF Answer key

1.4Limits by algebra: factoring and rationalizing worksheet6 problemsPreview Handout PDF Answer key

Quiz 1B8 questions, lessons 1.2 to 1.4PDF Answer key

1.5The squeeze theorem and the limit of sine x over x worksheet7 problemsPreview Handout PDF Answer key

1.6Continuity at a point worksheet6 problemsPreview Handout PDF Answer key

1.7Continuity on an interval worksheet6 problemsPreview Handout PDF Answer key

Quiz 1C8 questions, lessons 1.5 to 1.7PDF Answer key

1.8Infinite limits and vertical asymptotes worksheet6 problemsPreview Handout PDF Answer key

1.9Discontinuities and how to remove them worksheet6 problemsPreview Handout PDF Answer key

1.10Making a piecewise function continuous worksheet6 problemsPreview Handout PDF Answer key

Quiz 1D8 questions, lessons 1.8 to 1.10PDF Answer key

1.11Limits at infinity and horizontal asymptotes worksheet6 problemsPreview Handout PDF Answer key

1.12Comparing growth rates at infinity worksheet6 problemsPreview Handout PDF Answer key

Quiz 1E8 questions, lessons 1.11 to 1.12PDF Answer key

1.13The intermediate value theorem worksheet5 problemsPreview Handout PDF Answer key

1.14The epsilon delta definition of a limit worksheet7 problemsPreview Handout PDF Answer key

Quiz 1F7 questions, lessons 1.13 to 1.14PDF Answer key

1Chapter 1 test12 questionsPDF Answer key

2

The derivative

2.1The derivative at a point worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

2.2Finding a derivative from the definition worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 2A7 questions, lessons 2.1 to 2.2PDFQuiz + Key Answer key

2.3The derivative as a function worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

2.4Differentiability: corners, cusps and piecewise functions worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 2B8 questions, lessons 2.3 to 2.4PDFQuiz + Key Answer key

2Chapter 2 test12 questionsPDFTest + Key Answer key

EXAMCalculus 1 quarter 1 benchmark18 questions, chapters 1 to 2PDFExam + Key Answer key

3

Differentiation rules

3.1The power rule and basic differentiation rules worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

3.2The derivative as a rate of change worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

3.3Tangent lines and normal lines worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 3A8 questions, lessons 3.1 to 3.3PDFQuiz + Key Answer key

3.4Derivatives of exponential functions worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

3.5The product rule worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

3.6The quotient rule worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 3B8 questions, lessons 3.4 to 3.6PDFQuiz + Key Answer key

3.7Derivatives of the trigonometric functions worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

3.8Second and higher derivatives worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 3C8 questions, lessons 3.7 to 3.8PDFQuiz + Key Answer key

3Chapter 3 test12 questionsPDFTest + Key Answer key

4

Chain rule, implicit differentiation and inverse functions

4.1The chain rule worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

4.2Implicit differentiation worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

4.3Derivatives of logarithms and logarithmic differentiation worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 4A8 questions, lessons 4.1 to 4.3PDFQuiz + Key Answer key

4.4Derivatives of inverse functions worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

4.5Derivatives of inverse trigonometric functions worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

4.6Combining differentiation rules worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 4B8 questions, lessons 4.4 to 4.6PDFQuiz + Key Answer key

4Chapter 4 test12 questionsPDFTest + Key Answer key

5

Contextual applications: rates, related rates, linear approximation

5.1Related rates worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

5.2Linear approximation and differentials worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 5A7 questions, lessons 5.1 to 5.2PDFQuiz + Key Answer key

5.3Newton's method worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

5.4L'Hopital's rule worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 5B8 questions, lessons 5.3 to 5.4PDFQuiz + Key Answer key

5Chapter 5 test12 questionsPDFTest + Key Answer key

EXAMCalculus 1 quarter 2 benchmark17 questions, chapters 3 to 5PDFExam + Key Answer key

EXAMCalculus 1 midterm exam18 questions, chapters 1 to 5PDFExam + Key Answer key

6

Analyzing functions: extrema, the mean value theorem, curve sketching, optimization

6.1The mean value theorem worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

6.2The extreme value theorem worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

6.3Critical points and local versus absolute extrema worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 6A8 questions, lessons 6.1 to 6.3PDFQuiz + Key Answer key

6.4Increasing and decreasing from the derivative worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

6.5Position, velocity and acceleration worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

6.6Extrema on a closed interval worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 6B8 questions, lessons 6.4 to 6.6PDFQuiz + Key Answer key

6.7Concavity and inflection points worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

6.8The first and second derivative tests worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 6C7 questions, lessons 6.7 to 6.8PDFQuiz + Key Answer key

6.9Curve sketching and connecting f, f' and f'' worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

6.10Optimization worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 6D7 questions, lessons 6.9 to 6.10PDFQuiz + Key Answer key

6Chapter 6 test12 questionsPDFTest + Key Answer key

7

Riemann sums and the definite integral

7.1Approximating area with Riemann sums worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

7.2The trapezoidal rule and Simpson's rule worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

7.3The definite integral as a limit of Riemann sums worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 7A8 questions, lessons 7.1 to 7.3PDFQuiz + Key Answer key

7.4Signed area and integrals from geometry worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

7.5Properties of definite integrals worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 7B8 questions, lessons 7.4 to 7.5PDFQuiz + Key Answer key

7Chapter 7 test12 questionsPDFTest + Key Answer key

EXAMCalculus 1 quarter 3 benchmark18 questions, chapters 6 to 7PDFExam + Key Answer key

8

The fundamental theorem and antiderivatives

8.1The first fundamental theorem of calculus worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

8.2Graphing an accumulation function worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

8.3Antiderivatives and indefinite integrals worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 8A8 questions, lessons 8.1 to 8.3PDFQuiz + Key Answer key

8.4The second fundamental theorem of calculus worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

8.5Antiderivatives of trig, exponential and log functions worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

8.6u-substitution worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 8B8 questions, lessons 8.4 to 8.6PDFQuiz + Key Answer key

8.7Dividing before integrating worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

8.8Completing the square inside an integral worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

8.9Differential equations and their solutions worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 8C8 questions, lessons 8.7 to 8.9PDFQuiz + Key Answer key

8Chapter 8 test12 questionsPDFTest + Key Answer key

9

Applications of integration: area, volume, accumulation

9.1The net change theorem in context worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

9.2Position, displacement and distance from velocity worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

9.3Area between curves worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 9A8 questions, lessons 9.1 to 9.3PDFQuiz + Key Answer key

9.4Average value of a function worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

9.5Volumes with known cross sections worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 9B8 questions, lessons 9.4 to 9.5PDFQuiz + Key Answer key

9.6The disk method worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

9.7The washer method worksheet4 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 9C8 questions, lessons 9.6 to 9.7PDFQuiz + Key Answer key

9Chapter 9 test12 questionsPDFTest + Key Answer key

10

Differential equations: slope fields and separation of variables

10.1Writing a differential equation from a description worksheet6 problemsPreview Handout PDFWorksheet + Key Answer key

10.2Slope fields worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 10A8 questions, lessons 10.1 to 10.2PDFQuiz + Key Answer key

10.3Separable differential equations worksheet5 problemsPreview Handout PDFWorksheet + Key Answer key

10.4Exponential growth and decay models worksheet7 problemsPreview Handout PDFWorksheet + Key Answer key

Quiz 10B7 questions, lessons 10.3 to 10.4PDFQuiz + Key Answer key

10Chapter 10 test12 questionsPDFTest + Key Answer key

EXAMCalculus 1 quarter 4 benchmark18 questions, chapters 8 to 10PDFExam + Key Answer key

EXAMCalculus 1 final exam18 questions, chapters 1 to 10PDFExam + Key Answer key