This calculus video tutorial shows you how to find the intervals where the function is increasing and decreasing, the critical points or critical numbers, relative extrema such as local minimum and local maximum values using the first derivative test, concavity, and inflection points using the second derivative. This video contains plenty of examples and practice problems for you to work on.

Here is a list of topics:

1. Increasing and Decreasing Intervals of a Function - Interval Notation

2. First Derivative Test - Local Extrema - Relative Min and Max Using Sign Chart on a Number Line

3. First Derivative is Positive When the Function Is increasing. Slope is negative when the function is decreasing

4. Critical points - f'(c)=0 or does not exist

5. How to find the critical numbers of a function

6. Finding the Second Derivative of a Function

7. How to find the intervals when the function is concave up and concave down

8. How to determine the points of inflection using the second derivative

9. Inflection Point occur when Concavity changes sign

10. Graphical Examples of Increasing and Decreasing Functions

11. Shape of Curve / Graph - Concave Up & Concave down

12. First and Second Derivative Techniques - Power Rule, Product Rule, Quotient Rule and Chain Rule

Tagged under: concavity inflection point, derivative,calculus,concavity,inflection points,finding inflection points,critical points,extrema,critical numbers calculus,increasing decreasing functions,increasing decreasing intervals, derivative test,local maximum minimum,local max min calculus,relative maximum minimum,relative extrema,critical numbers,concave ,concave ,interval notation,intervals,number line,sign chart

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

Quickfire

Carry out a quickfire formative assessment to see what the whole class is thinking

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

Turn any public video into a live chat with questions and quizzes

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Dr Ayla Göl
@iladylayla

A good tool for supporting active #learning.

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!