Nature of a stationary point

Nature of a stationary point using the first differential

In this tutorial I show you how to distinguish whether a stationary point is a maximum, minimum or point of inflexion by considering the first differential.

Nature of a stationary point using the second differential

In this tutorial I show you how to distinguish whether a stationary point is a maximum, minimum or point of inflexion by considering the second differential.

Example

In this next example I put together all the ideas discussed so far.

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