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.

Example:

  1. \text{Find the coordinates of the stationary points on the curve} \\ y = 12{x^5} + 5{x^6} + 1 \\ \text{and determine the nature of the stationary points.}




2018-08-08T18:28:38+00:00
This website uses cookies and third party services. Settings Ok