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Given f′(x) = (9-x)2/ (x2+9)2 and f′′(x) = (2x(x2-27)/ (x2+ 9)3 , answer the following ques-...

Given f′(x) = (9-x)2/ (x2+9)2 and f′′(x) = (2x(x2-27)/ (x2+ 9)3 , answer the following ques-

tions:
(a) Find the interval where f(x) is increasing and decreasing.

(b) At what values of x do the local maximum and local minimum occur?

(c) Find the intervals of concavity.

(d) At what values of x do the inflection points occur?

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