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 (?, -6) and (6, ?)
(b) Rel. max. f(6) =12.
rel. min. f(-6) = -12.

b. (a) Increasing on (-6, 0) and (0, 6), decreasing on (?, -6) and (6, ?)
(b) Rel. max. f(6) =12,
rel. min. f(-6) = -12.

C. (a) Increasing on (-?, -6) and (6, ?), decreasing on (-6, 0) and (0, 6)
(b) Rel. max. f(-6) =12.
rel. min. f(6) = 12.

d. (a) Increasing on (-?, -6) and (6, ?), decreasing on (-6, 6)
(b) Rel. max. f(-6) =12.
rel. min. f(6) = 12.


C. (a) Increasing on (-?, -6) and (6, ?), decreasing on (-6, 0) and (0, 6)
(b) Rel. max. f(-6) =12.
rel. min. f(6) = 12.

Mathematics

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