On the interval [0,1] the function f(x) =x1005(1-x)1002 takes maximum value equal to

1. 1005100510021002/20072007

2. 20072007/1005100510021002

3. 20072007//1005100210021005

Plz answer quickly

f(x) =x1005(1-x)1002 

It is given that function f attains its maximum value on the interval [0, 1] at x = ?


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