Derivatives refer to rate of change. For example, if you are cycling, how fast you are currently travelling, that is, change in distance over a time period.

In this topic, you will discover what is derivative. Find out more by selecting 'What is a Derivative?'

By the end of this lesson, you will be able to explain what is a derivative.

Estimated time: 10 minutes


Lesson 1 of 4: What is a derivative?

https://youtu.be/7CvLzpzGhJI


Lesson 2 of 4: What have I learnt?

What have I learnt.png

The gradient of AB is given by the equation on the left.  As B approaches A, h gets smaller and smaller. As h approaches zero, the value called the  limiting value, is defined as the gradient of the tangent line to the graph at A.

f'(x) is known as the derivative of f(x). Another common notation for derivative is dy/dx.


Lesson 3 of 4: Review Questions

Question 01/01

The derivative of a function f(x) at point A is given by the

  1. horizontal line drawn across point A
  2. gradient of the tangent line at point A
  3. vertical line drawn across point A

Lesson 4 of 4: Find out more