Please help me with this problem on demonstrations.
By using Rolle's Theorem, show that $f(x)=x^{10}+ax-b\quad,\quad {\rm where}\;\; a,b\in \mathbb{R}$ has at most two real roots.
Thanks in advance.
Grettings
Please help me with this problem on demonstrations.
By using Rolle's Theorem, show that $f(x)=x^{10}+ax-b\quad,\quad {\rm where}\;\; a,b\in \mathbb{R}$ has at most two real roots.
Thanks in advance.
Grettings
Hint: How many real roots does f'(x) have?