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Table of contents
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0. Functions
Worksheet
Introduction to Functions
Piecewise Functions
Properties of Functions
Common Functions
Transformations
Combining Functions
Exponent Rules
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Exponential & Logarithmic Equations
1. Limits and Continuity
Worksheet
Introduction to Limits
Finding Limits Algebraically
Continuity
2. Intro to Derivatives
Worksheet
Tangent Lines and Derivatives
Derivatives as Functions
Basic Graphing of the Derivative
Differentiability
3. Techniques of Differentiation
Worksheet
Basic Rules of Differentiation
Higher Order Derivatives
Product and Quotient Rules
The Chain Rule
4. Derivatives of Exponential & Logarithmic Functions
Worksheet
Derivatives of Exponential & Logarithmic Functions
5. Applications of Derivatives
Worksheet
Implicit Differentiation
Logarithmic Differentiation
Related Rates
Differentials
Linearization
6. Graphical Applications of Derivatives
Worksheet
Intro to Extrema
The First Derivative Test
Concavity
The Second Derivative Test
Curve Sketching
Finding Global Extrema
Applied Optimization
7. Antiderivatives & Indefinite Integrals
Worksheet
Antiderivatives
Indefinite Integrals
8. Definite Integrals
Worksheet
Estimating Area with Finite Sums
Riemann Sums
Introduction to Definite Integrals
Fundamental Theorem of Calculus
Average Value of a Function
Substitution for Indefinite Integrals
Substitution for Definite Integrals
9. Graphical Applications of Integrals
Worksheet
Area Between Curves
Introduction to Volume & Disk Method
10. Integrals of Inverse, Exponential, & Logarithmic Functions
Worksheet
Integrals of Exponential Functions
Integrals Involving Logarithmic Functions
11. Techniques of Integration
Worksheet
Integration by Parts
Improper Integrals
12. Trigonometric Functions
Worksheet
Angles
Trigonometric Functions on Right Triangles
Solving Right Triangles
Trigonometric Functions on the Unit Circle
Graphs of Sine & Cosine
Graphs of Other Trigonometric Functions
Trigonometric Identities
Derivatives of Trig Functions
Integrals of Basic Trig Functions
Integrals of Other Trig Functions
13: Intro to Differential Equations
Worksheet
Basics of Differential Equations
Slope Fields
Separable Differential Equations
14. Sequences & Series
Worksheet
Sequences
Review of Factorials
Series
15. Power Series
Worksheet
Power Series & Taylor Series
16. Probability & Calculus
Worksheet
Continuous Probability Models
0. Functions
Introduction to Functions
Back
0. Functions
Introduction to Functions
All
Practice by Nick
Multiple choice
Multiple Choice
Which of the following best describes a function in the context of business calculus?
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4