HOME COURSES PREVIEW REVIEW ABOUT CONTACT

 TOLL-FREE INFO & ORDERING: M-F: 9am-5pm (PST): (877) RAPID-10

 Quick Search: Keywords:

 Rapid Courses Catalog : Physics in 24 Hours Chemistry in 24 Hours Biology in 24 Hours Mathematics in 24 Hours

Weekly Physics Tips:
Want to become a top gun in your class? How about study less yet score high? Sign up this Physics Survival Weekly to learn how. Designed specifically for students who are taking physics, this free newsletter will show you how to survive and excel in class! Weekly topics include:
• How to Study Physics Effectively
• How to Read Physics Textbooks Easily
• How to Solve Physics Problems Systematically
• How to Score High on Physics Exams Strategically
• How to Master Physics Rapidly
Each week, you will receive study tips on the topics above and visual tutorial or study template to enhance your physics learning. Enter your name and email below to subscribe free:

 Physics Study Lounge These study sheets are for quick review on the subjects. Refer to our rapid courses for comprehensive review.     - Basic Skills in Physics     - Basic Math for Physics     - How to Solve Physics Problems     - Newton's Laws Study Guide     - ElectroMagnetism Quick Review     - Atomic Physics At-A-Glance     - Core Concepts in Nuclear Physics     - Special Relativity Overview

 Other Related Sites
 Note: For course links to launch, disable popup blockers or hold the ctrl key while clicking the link.

Applications of Differentiation I-Related Rates and Extrema

 Topic Review on "Title": Definition of the minimum of f(x) on an interval: is the minimum of on an interval if for all on that interval. Definition of the maximum of f(x) on an interval: is the maximum of on an interval if for all on that interval. The relative minimum and relative maximum of a function f(x): If there is an interval over which is the minimum of on an interval if for all x on that interval, then it sis a relative minimum. If there is an interval over which is the maximum of on an interval if for all x on that interval, then it is a relative maximum. Critical number of a function: Let be defined at a point, If or if is not differentiable at then is a critical number of Extreme Value Theorem: If a function is continuous on then over the interval there must exist at least one maximum and one minimum.

Rapid Study Kit for "Title":
 Flash Movie Flash Game Flash Card Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

 "Title" Tutorial Summary : This tutorial describes application of differentiation such as related rated and extrema. By completing this tutorial you will create and analyze graphs of functions and their first derivatives. Also, examples showing the relative and absolute maxima and minima for a function are introduced with the help of examples. Next, learning how to take derivatives implicitly is shown with the aid of example problems. Related rates problems are given with the introduction of example problems. The use of the KUDOS problem solving method is introduced to emphasize the concept of related rates and their applications. Graphs of the derivatives of functions are shown to point out the maximum and minimum values of a typical function.

 Tutorial Features: Specific Tutorial Features: Graphic representation of derivatives. Example problems showing related rates problems. Implicit differentiation is shown with the use of derivatives and tangent lines. Series Features: Concept map showing inter-connections of new concepts in this tutorial and those previously introduced. Definition slides introduce terms as they are needed. Visual representation of concepts Animated examplesâ€”worked out step by step A concise summary is given at the conclusion of the tutorial.

 "Title" Topic List: `Graphs of functions and their derivativesGoing to (and Finding) Extremes Related maximum and minimum defined The definition of a critical number Finding extremesImplicit differentiation Definition of implicit differentiationRelated rate problems`

See all 24 lessons in college calculus, including concept tutorials, problem drills and cheat sheets:
Teach Yourself College Calculus Visually in 24 Hours