Extrema{{CMD_7}} We'll start with some definitions. {{CMD_8}}{{CMD_9}}{{CMD_10}} {{CMD_11}} {{CMD_12}} A function {{MATH_13}} has an {{CMD_14}} at {{MATH_15}}, if {{MATH_16}} for every {{MATH_17}} in the domain of the function. {{CMD_18}} A function {{MATH_19}} has an {{CMD_20}} at {{MATH_21}}, if {{MATH_22}} for every {{MATH_23}} in the domain of the function. {{CMD_24}} A {{CMD_25}}{{CMD_26}} is either a global maximum or a global minimum. These are occasionally referred to as {{CMD_27}} as well. {{CMD_28}}