I am having trouble finding a compact formula for y'', so that I can place it on my sign table, but instead i got a really long equation which is too big
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 .