# Ch 12: Using Derivatives

The information in the Using Derivatives chapter can teach you how to use derivatives, solve rate problems and find extrema. It also focuses on the separation of variables concept. The chapter includes convenient video lessons that feature self-assessment quizzes and an examination that tests your knowledge of derivatives.

## Using Derivatives - Chapter Summary and Learning Objectives

The Using Derivatives chapter teaches the use of differentiation and related rates. You can learn the steps for graphing maximum and minimum values. The video lessons also teach the rules for solving the population growth problem with the population growth formula. Assess your retention of the material by taking the lesson quizzes.

Video Objective
Using Monotonicity and Concavity to Analyze Curves Learn how to evaluate curves using monotonicity and concavity.
How to Determine Maximum and Minimum Values of a Graph Learn to understand extrema and solve examples involving maximum and minimum values.
Using Differentiation to Find Maximum and Minimum Values Discover how to find the maxima and minima of a function using the properties of a derivative.
Separation of Variables to Solve System Differential Equations Learn to solve equations by separating variables.
Calculating Rate and Exponential Growth: The Population Dynamics Problem Examine the use of exponential equations to predict population growth.
Related Rates: The Draining Tank Problem Learn the steps for solving the draining tank problem.
Related Rates: The Distance Between Moving Points Problem Become familiar with problems that determine the distance between moving points and discover how to use variables to solve differential equations.

7 Lessons in Chapter 12: Using Derivatives
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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