Solve the Problem $f ( x ) = 0.0001 x ^ { 4 } - 0.1 x ^ { 2 } + 0.1$

Multiple Choice

Solve the problem.
-Estimate graphically the local maximum and local minimum of $f ( x ) = 0.0001 x ^ { 4 } - 0.1 x ^ { 2 } + 0.1$ .

A) Local maximum: $0.1$ ; local minima: $\pm 24.9$
B) Local maximum: 0 ; no local minimum
C) Local maximum: 0.1; no local minimum
D) Local maximum: 0; local minima: $\pm 22.4$