Use this revision tool to examine the relationship between functions and their derivatives by observing their graphs. Select a polynomial function (for example, f(x) = x³ – 3x²) from the menu. Estimate the gradients of the given tangents and position them on the graph of the function. Draw the graph of the derivative function. Use the slider to compare the values of the polynomial function and the derivative function. Complete the tasks for each polynomial function in the menu to continue exploring the visual relationship between the two graphs. This learning object is one in a series of ten objects.
Objective
Students interpret the gradient of the tangent to a curve as being the rate of change of the function.
Students apply the first principles method to differentiate basic polynomial functions.
Curriculum Information
Education Type
K to 12
Grade Level
Grade 9, Grade 10
Learning Area
Mathematics
Content/Topic
Patterns and Algebra
Patterns and algebra
Intended Users
Learners, Students
Competencies
Copyright Information
Copyright
Yes
Copyright Owner
Education Sevices Australia
Conditions of Use
Use
Technical Information
File Size
0 bytes
File Type
application/x-rar
Software/Plug-in Requirements
Adobe Flash Player - http://get.adobe.com/flashplayer/
