Find the coordinates of the turning point on the graph of and determine its

nature.

I used the product rule and got

so to find the coordinates of the turning point I set that first derivative equal to 0.

or

and to find the 'nature' of the turning points I have to take the second derivative. in which I dont get the correct answer, heres my working,

the derivative of

using the product rule on

=

but the my book says that the correct answer is