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.
\( a\in(-\infty,-3]\cup[1,\infty) \)
\( a\in(-\infty,-3)\cup(1,\infty) \)
\( a\in(-3,1) \)
\( a\in[-3,1] \)