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Consider the function f(x)=max x^(2), [(...

Consider the function `f(x)=max x^(2),` `[((1-x)^(2),2x(1-x))],x in [0,1]`
The interval in which f(x) is decreasing is

A

`((1)/(3),(2)/(3))`

B

`((1)/(3),(1)/(2))`

C

`(0,(1)/(3))cup((1)/(2),(2)/(3))`

D

`((1)/(3),(1)/(2))cup((2)/(3),1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Passage Based Questions)
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