Derivative & Horizontal Tangent Lesson

Let's Begin

Use this GeoGebra Interactive to select a function to see it's derivative and Critical points. Answer the Questions given after the interaction.

Please use the information from the interaction and answer some of the questions to build your knowledge .

Define Critical Points/Stationary Points. (see the interaction above : The points on the blue curve) Select all the correct options.

Select all that apply

Facts about the Critical points/Stationary Points (see the interaction above : The points on the blue curve) Select all the correct options.

Select all that apply

A
Always true:- Every function will have at least one Critical Point.
B
Sometimes True:- Functions have Inflection points.
C
Always True:- All the Critical /stationary points are either maxima or minima for a given function.
D
Never True: There are no tangents on the critical/stationary points.

Describe how to work out the Critical /Stationary Points for a given function.

What are Inflection Points and Describe how to work out the Inflection Points for a given function.

Thank you.