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
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