In this video I illustrate further on using the Second Derivative Test by going over a very useful example to show how you can use this test to help sketch a function by hand, noting where it is concave upwards or downwards, local max and min, and the inflection points.
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Second Derivative Test - Examples
Recap on Second Derivative Test
Example
Sketch the curve y = x4 - 4x3 and determine concavity, inflection points, and local max / min.