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Question

The function f(x)=(x/3)+(3/x),x0decreases in the interval.


A

(-,3)

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B

(-3,3)

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C

(3,)

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D

(-9,9)

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Solution

The correct option is B

(-3,3)


Evaluating for the correct answer

f(x)=(x/3)+(3/x),x0

f'(x)=dx3+3xdxf'(x)=13-3x2

For, decreasing function f'(x)<0

13-3x2<013<3x219<1x2x2<9-3<x<3

Hence, option B is correct.


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