Let f ( x ) = x 5 − 5 x + p. Show that...
Let . Show that can have at most one root in ,regardless of the value of p.
This seems to be an IVT problem, so I will go forth with that:
This is only true for ie
Now I have proved that there is atleast one root between , now I need to prove that there isn't a second.
Would Rolles theorem be what I need here, or is there a simple deduction I can make from above to finish the problem?