hi

Yeah , i tried the second derivative too and ended up with sth really long and uninteresting .

Fisrtly , find its first derivative which is

when y'(x)=0 , x=1

Make a table calculating dy/dx for 1 , 1^- , 1^+

this point (1 , ) is a local maximum .

And also the graph passes thought point (0,0)

Lets take a look at the behaviour of the graph as it goes to +/- infinity

when x approaches +ve infinity , y approaches 0

When x approaches -ve infinity , y approaches -ve infinity .

And it seems that (0,0) is a point of inflexion here .