Show that the function f(x)=\frac{x}{3}+\frac{3}{x} decreases in the intervals (-3,0) \cup(0,3).

CBSE Class 12 Math 2020 Outside Delhi Set 3 Solved Paper

Question : 7 of 11

Marks: +1, -0

Show that the function

f(x)=\;{x}/{3}+\;{3}/{x}

decreases in the intervals

(-3,0) ∪(0,3)

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