# Ch 8: Differentiable Functions & Min-Max Problems

### About This Chapter

Spend some time in these lessons to get a handle on one of the most fundamental aspects of calculus: differentiation. Learn to calculate rate of change in slopes and to find maximum and minimum values.

## Differentiable Functions & Min-Max Problems - Chapter Summary

If your memory of the Mean Value Theorem is a little rusty, brush up on it and Rolle's Theorem here. These videos start off with some basic definitions and give you a firm grasp on the ideas of average and instantaneous rates of change. Cap it off with a discussion of slopes and velocity.

Change may not be easy for us, but finding rates of change will be for you once you review the lessons in this chapter. Whether you need to refresh the calculus lessons you took years ago or learn these topics anew, we're ready to get you on track with these lessons on differentiation and working with minimums and maximums. The topics we cover in these videos include:

• The Mean Value Theorem
• Rolle's Theorem
• Determining maximum and minimum values of a graph
• Finding maximum and minimum values with differentiation
• Rate of change with velocity and slopes

Each lesson comes with an engaging video taught by a math expert. The instructors use real-life scenarios to enhance your understanding and give you good mind-pictures to draw on when you need to remember these functions. Print out the lesson transcript to see the problems worked out in full with key terms set in bold for easy study. Complete the self-assessments to check understanding and determine which areas you may need to return to for review and practice. If you are still struggling, use the instructor contact function to ask for help from our instructors (not available for basic accounts).

6 Lessons in Chapter 8: Differentiable Functions & Min-Max Problems
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.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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