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In the interval `[0,1],` the function `x^(25)(1-x)^(75)` takes its maximum value at the point 0 (b) `1/4` (c) `1/2` (d) `1/3`

A

0

B

`1//3`

C

`1//2`

D

`1//4`

Text Solution

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The correct Answer is:
D
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