A) increasing
B) decreasing
C) neither increasing nor decreasing
D) partly increasing and partly decreasing
Correct Answer: B
Solution :
Since, \[f(x)=\frac{x}{3}+\frac{3}{x}\] On differentiating w.r.t. \[x,\]we get \[f(x)=\frac{1}{3}-\frac{3}{{{x}^{2}}}\] It is clear that \[f(x)\] is less than zero in the interval \[(-3,3).\] Hence, \[f(x)\]is decreasing in the interval \[(-3,3).\]
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