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## Learn how to sketch the graph of a derived function

Sketching the graph of a derived funtion is a common technique for Calculus students to learn. Although it’s not a particularly difficult technique, it is odd at first and students often misunderstand what they’re being asked to do. Essentially it’s an application of stationary points so make sure you’re confident with what stationary points are before learning this technique. Any questions about this video drop us a message HERE.

## Key Points

A derived function graph helps visualise the derivative of a function

The key to sketching a derived function graph is using the stationary points

No other key points on the original graph are needed to sketch the derived graph

Where the function is increasing the derived graph is above the x-axis

Where the function is decreasing the derived graph is below the x-axis

Where the function has stationary points the derived graph has roots

The derived graph should be of a type one power less then the function