GCSE Maths (Edexcel)

435 videos | 33 hours

Interpreting Non-Linear Gradients

Please subscribe to watch this video.

This, and all other videos, are included in our premium subscriptions.

Premium accounts get access to all videos.

Algebra Graphs

Interpreting Non-Linear Gradients

3:44 Non-Linear Gradients
Spec A15
Previous Gradient of a Chord Next Area Under a Graph
  • The gradient of a non-linear graph is always changing, indicating that the rate of change also changes.
  • The gradient is determined by dividing the change in the y variable by the change in the x variable.
  • The instantaneous gradient is the rate of change at a specific point in time, determined by drawing a tangent line to the curve.
  • The gradient of the tangent line indicates the instantaneous rate of change.
  • The gradient of a chord, a straight line drawn between two points, indicates the average rate of change over a period of time.
  • Working out the gradient of a chord is useful for determining the average rate of change, but it loses the detail of how the value changed between the two points.
  • Instantaneous gradient is like looking at the speedometer in a car, while the average gradient is like calculating the average speed over the entire journey.

Please subscribe to access these revision notes.

This, and all other video notes, are included in our premium subscriptions.

Premium accounts get access to all videos and revision notes.