1003261909

Level: 
Project ID: 
1003261909
Accepted: 
1
Clonable: 
0
Easy: 
0
Determine all the values of \( a \), \( a\in\mathbb{R} \), such that the function \[ f(x)=\frac{a^2-1}3x^3+(a-1)x^2+2x+1 \] does not have any local extrema.
\( a\in(-\infty;-3]\cup[1;\infty) \)
\( a\in(-\infty;-3)\cup(1;\infty) \)
\( a\in(-3;1) \)
\( a\in[-3;1] \)