How to Determine the Values of x Where the Graph is Concave Upward or Downward

In this video, you'll learn how to determine the values of x where a graph is concave upward or concave downward using the second derivative test. This is an important concept in Calculus that helps you understand the shape and behavior of graphs.

We will cover:

✅ What concavity means

✅ How to find the second derivative

✅ How to determine intervals where a graph is concave upward

✅ How to determine intervals where a graph is concave downward

✅ How to identify possible points of inflection

✅ Worked examples explained step-by-step

Whether you're preparing for exams or trying to improve your understanding of Calculus, this lesson will make the topic simple and easy to follow.

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⏰ Video Chapters

00:00 Introduction

00:35 What is Concavity?

01:30 Finding the Second Derivative

03:20 Determining Concave Up Intervals

05:40 Determining Concave Down Intervals

07:50 Finding Points of Inflection

10:00 Worked Example

12:30 Summary and Exam Tips

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Видео How to Determine the Values of x Where the Graph is Concave Upward or Downward канала Functions Explained | Grade 12 Maths