y=logx+x^-1
dy/dx=1/x-(x)^-2
dy/dx=1/x-1/x^2...S.P occurs when d/dx=0
1/x-1/x^2=0
(x^2-x)/x^3=0.. this can be simplified to (x-1)/x^2=0
so, when multiplying the denominator x-1=0, therefore x=1
when x=1, y=In1+1/1=1 therefore S.P at (1,1)
TEST gradient change. Since when x=1, dy/dx=0...