# Ch 12: AP Calculus - Graphing Derivatives & L'Hopital's Rule: Tutoring Solution

The Graphing Derivatives and L'Hopital's Rule chapter of this AP Calculus AB and BC Tutoring Solution is a flexible and affordable path to learning about graphing derivatives and L'Hopital's Rule in AP calculus. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving derivative graphs and L'Hopital's Rule required in a typical AP calculus course.

## How it works:

• Begin your assignment or other AP calculus work.
• Identify the graphing derivatives and L'Hopital's Rule concepts that you're stuck on.
• Find fun videos on the topics you need to understand.
• Press play, watch and learn!
• Complete the quizzes to test your understanding.
• As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our AP calculus tutoring solution will benefit any student who is trying to learn about graphing derivatives and L'Hopital's Rule for AP calculus and earn better grades. This resource can help students including those who:

• Struggle with understanding how to determine maximum value on a graph, explain concavity, identify functions from derivative graphs, apply L'Hopital's rule in simple cases or any other graphing derivatives and L'Hopital's Rule in AP calculus topic
• Have limited time for studying
• Want a cost effective way to supplement their math learning
• Prefer learning math visually
• Find themselves failing or close to failing their graphing derivatives and L'Hopital's Rule in AP calculus unit
• Want to get ahead in AP calculus

## Why it works:

• Engaging Tutors: We make learning about graphing derivatives and L'Hopital's Rule for AP calculus simple and fun.
• Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
• Consistent High Quality: Unlike a live calculus tutor, these video lessons are thoroughly reviewed.
• Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about graphing derivatives and L'Hopital's Rule on the go!
• Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

• Graph the derivative of any function.
• Describe what happens at the kinks of non-differentiable graphs of derivatives.
• Determine the minimum and maximum values of a graph.
• Find minimum and maximum values using differentiation.
• Identify concavity and inflection points of graphs.
• Determine concavity and inflection points using differentiation.
• Describe function properties from derivatives.
• Use derivative graphs to identify functions.
• Become familiar with L'Hopital's rule.
• Apply L'Hopital's rule in simple and complex cases.

11 Lessons in Chapter 12: AP Calculus - Graphing Derivatives & L'Hopital's Rule: Tutoring Solution
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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