Study Guide
Department of Defense

Do Dea: Optimization Business Applications

For Students 9th - 10th
You can apply calculus to the business world! This lesson goes through a number of business applications of derivatives and optimization that are widely used. Explanations and examples are provided. Great review for the AP Calculus test!
Study Guide
Department of Defense

Do Dea: Resistance Proportional to Velocity

For Students 11th - 12th
Resistance to forward movement will be proportional to the velocity of the object. That relationship can be expressed by an equation that you can learn about on this page. Great review for the AP Calculus test!
Study Guide
Department of Defense

Do Dea: Differential Equations

For Students 9th - 10th
A separable differential equation is one which is in the form dy/dx = g(x) h(y). Learn how to take the integral by separating the variables and put the y's on one side with the dy and the x's on the other with the dx. View an example on...
Study Guide
Department of Defense

Do Dea: Growth and Decay

For Students 9th - 10th
Practice problems that each illustrate a different use of the Law of Exponential Change. Examples and explanations are provided. Great review for the AP Calculus test!
Study Guide
Department of Defense

Do Dea: The Law of Exponential Change

For Students 9th - 10th
If you are a budding environmental scientist, archeologist. physical scientist, or bacteriologist, then this is the site is for you. You will be looking at the differential equation of proportional change and how it is related to the...
Study Guide
Department of Defense

Do Dea: Average Rates of Change

For Students 9th - 10th Standards
This document looks at look at the difference between averages and instantaneous rates of change. Formulas are provided for average speed, instantaneous speed, the slope of a secant line, the slope of a tangent, and the slope of a curve...
Study Guide
Department of Defense

Do Dea: Working With Parabolic Projectile Paths

For Students 9th - 10th
Using the free-fall constants and gravity acceleration equations, we can determine many things about the position, velocity, and speed of a projectile. Here are a few examples and explanations. This is a great review for the AP Calculus...
Handout
Department of Defense

Do Dea: Newton's Law of Cooling

For Students 9th - 10th
Learn about Newton's Law of Cooling. Examples and explanations are provided. Great review for the AP Calculus test!
Study Guide
Department of Defense

Do Dea: Instantaneous Rates of Change

For Students 9th - 10th Standards
Prepare for the AP Calculus exam by reviewing the most common relationships that are used in calculus. Formulas and examples are provided.
Study Guide
Department of Defense

Do Dea: Marginal Cost, Marginal Revenue

For Students 9th - 10th
Business applications of derivatives are widely used. Marginal revenue, cost, and profit functions that you can find by taking the respective derivatives of revenue, cost, or profit would provide very valuable information to a business....
Study Guide
Department of Defense

Do Dea: Free Fall Constants for Earth

For Students 9th - 10th
When you work with equations that show position, velocity, acceleration of objects that are flying or falling through the air, you will be using the constant that is the acceleration due to gravity. View formulas, explanations, and...
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Khan Academy

Khan Academy: Analyzing the Second Derivative to Find Inflection Points

For Students 11th
Learn how the second derivative of a function is used in order to find the function's inflection points. Learn which common mistakes to avoid in the process.