prove that there is a solution on this interval
i tried like this
f(x)=x^13 +x^7 -x -2006
f'(x)=13x^2+7x^6 -1
f''(x)=156x^11+42x^5
t=x^6
the extreme points are
minimum point is
maximum point is
f(x1) and f(x2) are negative
then they just input 10 and its positive
so we have one solution between x=0.699 and x=10 (the mid something theorem)
but its far away from the asked range
??