Given f(x)=x (36)/(x).
(a) Find the intervals on which f is increasing or decreasing.
(b) Find the relative maxima and relative minima of f.
a) (a) Increasing on ( -6,6 ), decreasing on ( -\infty ,-6 ) and ( 6,\infty )
(b) Rel. max. f(6)=12,
rel. min. f(-6)=-12
b) (a) Increasing on (-6,0) and (0,6) decreasing on (-\infty ,-6) and (6,\infty )
(b) Rel. max. f(6)=12,
rel. min. f(-6)=-12
c) (a) Increasing on ( -\infty ,-6 ) and ( 6,\infty ), decreasing on ( -6,0 ) and ( 0,6 )