For defined for all real numbers

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For

h(x)=x^{3}-3x

defined for all real numbers, find the coordinates of every local extremum. State whether

h

possesses an absolute maximum or an absolute minimum on

\mathbb{R}

, and justify your conclusion with the values obtained.