Problem

Problem

The function

f

is defined by

f(x) = x^p(1-x)^q

for all

x \in \mathbb{R}

, where

p, q

are positive integers, has a maximum value, for

x

equal to a.

\frac{pq}{p+q}

b. 1 c. 0 d.

\frac{p}{p+q}

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