Published on 17 Nov 2020

School

Department

Course

Professor

F A L L 2 0 2 0

CALCULUS1

S T U D Y G U I D E

ONECLASSUNIVERSITY

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6

17

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This Study Guide was made using:

OneClass Booster Class

Calculus 1

oneclass.com/courses/mathematics/calculus-1.en.html

Contents

1 Represent Functions

Theory

Quiz

2 Combine Functions

Theory

Quiz

3 Transform Functions

Theory

Quiz

4 Evaluate Logarithmic Functions

Theory

Quiz

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43

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61

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90

92

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103

104

108

110

5 Sketch Continuous And Differentiable Functions

Theory

Quiz

6 Determine Continuity Of Functions

Theory

Quiz

7 Apply The Intermediate Value Theorem

Theory

Quiz

8 Find Tangent Line Equations

Theory

Quiz

9 Apply Differentiation Rules Part 1

Theory

Quiz

10 Find The Derivative Of The Function

Theory

Quiz

11 Evaluate Exponential Functions

Theory

Quiz

12 Evaluate Trigonometric Functions

Theory

Quiz

13 Interpret The Meaning Of The Derivative

Theory

Quiz

14 Calculate The Average Rate Of Change And Instantaneous Rate Of Change

Theory

Quiz

15 Use Implicit Differentiation

Theory

Quiz

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16 Find The Derivatives Of Inverse Trigonometric Functions

Theory

Quiz

17 Use Logarithmic Differentiation

Theory

Quiz

18 Apply Rolle's Theorem

Theory

Quiz

19 Classify Functions

Theory

Quiz

20 Sketch Functions Part 2

Theory

Quiz

21 Apply Differentiation Rules Part 2

Theory

Quiz

22 Solve Related Rates

Theory

Quiz

23 Solve Exponential Growth And Decay Problems

Theory

Quiz

24 Find Minimum And Maximum Values Of A Function

Theory

Quiz

25 Determine Differentiability Of Functions

Theory

Quiz

26 Sketch Functions Part 1

Theory

Quiz

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27 Apply The Mean Value Theorem

Theory

Quiz

28 Graph Using First And Second Derivatives

Theory

Quiz

29 Solve Function Word Problems

Theory

Quiz

30 Solve For Limits

Theory

Quiz

31 Solve Optimization Problems

Theory

Quiz

32 Quiz Solutions

Skill 1: Represent functions

Skill 2: Combine functions

Skill 3: Transform functions

Skill 4: Evaluate logarithmic functions

Skill 5: Sketch continuous and differentiable functions

Skill 6: Determine continuity of functions

Skill 7: Apply the Intermediate Value Theorem

Skill 8: Find tangent line equations

Skill 9: Apply differentiation rules part 1

Skill 10: Find the derivative of the function

Skill 11: Evaluate exponential functions

Skill 12: Evaluate trigonometric functions

Skill 13: Interpret the meaning of the derivative

Skill 14: Calculate the average rate of change and instantaneous rate of change

Skill 15: Use implicit differentiation

Skill 16: Find the derivatives of inverse trigonometric functions

Skill 17: Use logarithmic differentiation

Skill 18: Apply Rolle's Theorem

Skill 19: Classify functions

Skill 20: Sketch functions part 2

Skill 21: Apply differentiation rules part 2

Skill 22: Solve related rates

Skill 23: Solve exponential growth and decay problems

Skill 24: Find minimum and maximum values of a function

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307

Skill 25: Determine differentiability of functions

Skill 26: Sketch functions part 1

Skill 27: Apply the Mean Value Theorem

Skill 28: Graph using first and second derivatives

Skill 29: Solve function word problems

Skill 30: Solve for limits

Skill 31: Solve optimization problems