In Order to Find Whether a Local Minimum Is a Global

Multiple Choice

In order to find whether a local minimum is a global minimum, one must

A) set the second derivative to 0 and solve for $\mathrm{x}$ and check whether the first derivative is negative at that $\mathrm{x}$
B) check whether the second derivative is negative at the value of $x$ corresponding to the local minimum
C) set the second derivative to 0 and solve for $\mathrm{x}$ and check whether the first derivative is positive at that $\mathrm{x}$
D) check whether the second derivative is positive at the value of $x$ corresponding to the local minimum