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Question

The functionf(x)=[x(x-2)]2is increasing in the set


A

(-,0)(2,)

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B

(-,1)

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C

(0,1)(2,)

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D

(1,2)

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E

(0,2)

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Solution

The correct option is C

(0,1)(2,)


Explanation for correct option

f(x)=[x(x-2)]2

f'(x)=4x(x-1)(x-2)

for f(x) is increasing f'(x)>0

4x(x-1)(x-2)>0x(0,1)(2,)

Hence, option C is correct.


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