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Determine the intervals in which f(x)=2/...

Determine the intervals in which `f(x)=2/((x-1))+18x,AAx in R-{0}` is stricly increasing and decreasing.

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The correct Answer is:
f(x) is increasing on `(-infty,2//3) cup (4//3,infty)` and decreasing on (2/3, 4/3)
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