2010017803

SubArea: 
Analyzing function behavior
Level: 
A
Project ID: 
2010017803
Source Problem: 
1003261906
Accepted: 
0
Clonable: 
1
Easy: 
0
Determine the values of \( a \) and \( b \) (\( a \), \( b \in\mathbb{R} \)) such that the function \[ f(x)=ax^3-2bx+2 \] has a local extremum of \( 6 \) at \( x=-1 \).
\( a=2 \), \( b=3 \)
\( a=-2 \), \( b=3 \)
\( a=-2 \), \( b=-3 \)
\( a=2 \), \( b=-3 \)