Stationary Points: Finding Maxima and Minima on a Graph

The video tutorial explores the graph of the function y = x^3 - 3x^2, identifying where it crosses the axes and analyzing its gradient. It explains how to find stationary points by differentiating the function and determining the nature of these points as maximum or minimum. The tutorial also covers how to use gradient changes to classify turning points without graphing.

What are the x-intercepts of the function x cubed minus 3x squared?

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What does it mean when the gradient of the graph is positive?

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Explain how to determine the stationary points of the function.

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Describe the process of finding the y-coordinates of the stationary points.

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How can you identify whether a turning point is a maximum or minimum?

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