Hi Cinnaman,

a few tipps:

f'(x)=0 => x1=-1, x2= 0; x3=4 the event. max- and min points of f(x)

If f''(x1) < 0 => x1 is max. point =>MAX1( x1|f(x1))

If f''(x1) > 0 => x1 is min. point =>MIN1( x1|f(x1))

analog with x2 und x3.

EXTx= Extrem x-point;

xp<xn;

If sign of f(EXTxp) is not = f(EXTxn) => there is a x, beetwen xp und xn with f(x)=0