The following question is similar to June 2008 GCE O Level A-Math Paper question which is testing on the following concepts
Differentiation involving exponential (I have written a post on Differentiation of e; post on Basic Differentiation Techniques are available here too )
Finding coordinates and nature of stationary point (Application of Differentiation)
Watch the video for a few more important tips on handling this sort of question.
There is a small error in your video clip on "A-Math: Find Coordinates and Nature of Stationery Point (Plus: Tips to note in Differentiation)" if I m not wrong.
-2x 4x 4x -2x
-4e (e - 3) + 4e (2e )
-2x 4x 4x
= 4e ( -e + 3 + 2e )
-2x 4x
= 4e ( e + 3)
Thanks for informing me about it.
I have updated the changes.
:)