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The function `'f'` is defined by `f(x)=x^p(1-x)^q` for all `x\ in R ,` where `p ,\ q` are positive integers, has a maximum value, for `x` equal to : `(p q)/(p+q)` (b) 1 (c) 0 (d) `p/(p+q)`

A

`(pq)/(p+q)`

B

`(-1)`

C

`(1)/(2)`

D

`(p)/(p+q)`

Text Solution

Verified by Experts

The correct Answer is:
D
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