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**maximum values for differentiation :(**

have a few problems with these questions, can you help :)

using differentiation, find the maximum value of the following functions?

1. f(x) = -x

^{2}+ x

2. f(x) = lnx - x

3. f(x) = -x

^{2}+ 2x

^{2}

4. f(x) = x

^{2}/4 + 4/x

5. f(x) = xe

^{-2x2}

6. f(x) = sqrt(x - n)/x ; n>0

hope you guys can help !

i thought it was straight forward differentiation but it aint :(