# Ch 29: OAE Mathematics: Applications of Derivatives

### About This Chapter

## OAE Mathematics: Applications of Derivatives - Chapter Summary

Watch these short, accessible video lessons to gain mastery of the applications of derivatives. This chapter covers the topics you'll likely run across on the OAE certification exam, such as:

- Optimization
- Differentiation
- Simple and complex system optimization

If you have any questions about the applications of derivatives demonstrated here, be sure to ask our instructors for help. Video transcripts emphasize key derivatives terms and ideas, making them easy to locate for further review.

### Objectives of the OAE Mathematics: Applications of Derivatives Chapter

The videos in this chapter examine the derivatives applications you'll need to know for the OAE Mathematics assessment. Use the lesson quizzes to test your understanding of the derivatives material you've reviewed and see what questions on the OAE certification look like, since our quizzes are modeled after tasks from the exam. You can also evaluate your exam-taking pace.

You will be given four hours and fifteen minutes to work through the 150-question test. The exam is computer administered and questions are presented in multiple-choice format. The test content is designed to assess your abilities in five areas: algebra, patterns and functions; statistics, probability and discrete mathematics; geometry and measurement; trig and calculus; and mathematical processes and number sense.

### 1. Optimization and Differentiation

In this lesson, you can learn what optimization means from a mathematical standpoint. Using the techniques taught in this lesson, you can use the five steps to optimization to figure out practical things, like how much sleep you need to get before an exam.

### 2. Optimizing Simple Systems

Optimization problems may seem overwhelming, but they can actually be quite simple. In this lesson, learn how to use a handy five-step formula to tackle these daunting problems.

### 3. Optimizing Complex Systems

In this lesson, you'll learn how to follow a five-step process to solve complex optimization problems by visualizing, defining, writing an equation, finding the minimum or maximum, and answering the question.

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### Other Chapters

Other chapters within the Ohio Assessments for Educators - Mathematics (027): Practice & Study Guide course

- OAE Mathematics: Properties of Real Numbers
- OAE Mathematics: Fractions
- OAE Mathematics: Decimals & Percents
- OAE Mathematics: Ratios & Proportions
- OAE Mathematics: Units of Measure & Conversion
- OAE Mathematics: Logic
- OAE Mathematics: Reasoning
- OAE Mathematics: Vector Operations
- OAE Mathematics: Matrix Operations & Determinants
- OAE Mathematics: Exponents & Exponential Expressions
- OAE Mathematics: Algebraic Expressions
- OAE Mathematics: Linear Equations
- OAE Mathematics: Inequalities
- OAE Mathematics: Absolute Value
- OAE Mathematics: Quadratic Equations
- OAE Mathematics: Polynomials
- OAE Mathematics: Rational Expressions
- OAE Mathematics: Radical Expressions
- OAE Mathematics: Systems of Equations
- OAE Mathematics: Complex Numbers
- OAE Mathematics: Functions
- OAE Mathematics: Piecewise Functions
- OAE Mathematics: Exponential & Logarithmic Functions
- OAE Mathematics: Continuity of a Function
- OAE Mathematics: Limits
- OAE Mathematics: Rate of Change
- OAE Mathematics: Derivative Rules
- OAE Mathematics: Graphing Derivatives
- OAE Mathematics: Area Under the Curve & Integrals
- OAE Mathematics: Integration Techniques
- OAE Mathematics: Applications of Integration
- OAE Mathematics: Foundations of Geometry
- OAE Mathematics: Geometric Figures
- OAE Mathematics: Properties of Triangles
- OAE Mathematics: Triangle Theorems & Proofs
- OAE Mathematics: Parallel Lines & Polygons
- OAE Mathematics: Quadrilaterals
- OAE Mathematics: Circles & Arc of a Circle
- OAE Mathematics: Conic Sections
- OAE Mathematics: Geometric Solids
- OAE Mathematics: Analytical Geometry
- OAE Mathematics: Trigonometric Functions
- OAE Mathematics: Trigonometric Graphs
- OAE Mathematics: Solving Trigonometric Equations
- OAE Mathematics: Trigonometric Identities
- OAE Mathematics: Sequences & Series
- OAE Mathematics: Set Theory
- OAE Mathematics: Statistics Overview
- OAE Mathematics: Summarizing Data
- OAE Mathematics: Tables, Plots & Graphs
- OAE Mathematics: Probability
- OAE Mathematics: Discrete Probability Distributions
- OAE Mathematics: Continuous Probability Distributions
- OAE Mathematics: Sampling
- Ohio Assessments for Educators Mathematics Flashcards