Mathematics

Problem

For

g(x)=x^{3}-3x^{2}-9x+5

, which of the following correctly lists the stationary points and their nature? a) Local maximum at

(-1,10)

and local maximum at

(3,-22)

b) Local minimum at

(-1,10)

and local maximum at

(3,-22)

c) Local maximum at

(-1,10)

and local minimum at

(3,-22)

d) Local minimum at

(-1,10)

and local minimum at

(3,-22)