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0. Functions

1. Limits and Continuity

2. Intro to Derivatives

3. Techniques of Differentiation

4. Derivatives of  Exponential & Logarithmic Functions

5. Applications of Derivatives

6. Graphical Applications of Derivatives

7. Antiderivatives & Indefinite Integrals

8. Definite Integrals

9. Graphical Applications of Integrals

10. Integrals of Inverse, Exponential, & Logarithmic Functions

11. Techniques of Integration

12. Trigonometric Functions

13: Intro to Differential Equations

14. Sequences & Series

15.  Power Series

16. Probability & Calculus

[BOOK CALCULUS] DEFAULT

Introduction to Functions

Piecewise Functions

Properties of Functions

Common Functions

Transformations

Combining Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Exponential & Logarithmic Equations

Introduction to Limits

Finding Limits Algebraically

Continuity

Tangent Lines and Derivatives

Derivatives as Functions

Basic Graphing of the Derivative

Differentiability

Basic Rules of Differentiation

Higher Order Derivatives

Product and Quotient Rules

The Chain Rule

Business Calculus 1 Midterm

The cost function C(x)C(x)C(x) and the selling price of each article, p(x)p(x)p(x) are given below. Determine the profit function P(x)P(x)P(x).C(x)=−0.03x2+70x+75C(x)=-0.03x^2+70x+75C(x)=−0.03x2+70x+75p(x)=80−0.02xp(x) = 80 - 0.02xp(x)=80−0.02x

The cost function $C(x)$ and the selling price of each article, $p(x)$ are given below. Determine the profit function $P(x)$ .
$C(x)=-0.03x^2+70x+75$
$p(x) = 80 - 0.02x$