QuestionDetermine the location of each local extremum of the function. $$f(x)=x^{3}+7 x^{2}+8 x+3$$ A. Local maximum at $-\frac{4}{3}$; local minimum at -2 B. Local maximum at 2 ; local minimum at $\frac{4}{3}$ C. Local maximum at $\frac{2}{3}$; local minimum at 4 D. Local maximum at -4 ; local minimum at $\frac{-2}{3}$