In this post, we look at describing the behaviour of a function, as part of the VCE Maths Methods topic Calculus and subtopic Applications of Differentiation. This focuses on the identification of intervals over which a function is constant, stationary, strictly increasing or strictly decreasing.
The following information is important to note:
- f'(x)=0 at a stationary point.
- f'(x) > 0 when the function is increasing.
- f'(x) < 0 when it is decreasing.
Strictly Increasing or Decreasing?
Wondering what that means? Watch the following video to find out more.
How Can a Graph Be Stationary?
The following videos provide an in-depth introduction to stationary points.
Part 1
Part 2
Part 3
Want to learn more? Check out more of our VCE Mathematics resources here!
