Original
If {{MATH_1}} has a local max at {{MATH_2}}, then its square {{MATH_3}} must also have a local max at {{MATH_4}}.
{{CMD_5}}
Think of {{MATH_6}}. The graph of {{MATH_7}} is a parabola. {{MATH_8}} has a local max at {{MATH_9}}, but {{MATH_10}}, where {{MATH_11}}, has a local minimum at {{MATH_12}}.
{{CMD_13}}
{{CMD_14}}
{{CMD_15}}True{{CMD_16}}
{{CMD_17}}False{{CMD_18}}
{{CMD_19}}