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.