To start, compute the first and second derivative of {{MATH_592}} with respect to {{MATH_593}}, {{MATH_594}} Since {{MATH_595}}, there is potentially an inflection point at {{MATH_596}}. Using test points, we note the concavity does change from down to up, hence there is an inflection point at {{MATH_597}}. The curve is concave down for all {{MATH_598}} and concave up for all {{MATH_599}}, see the graphs of {{MATH_600}} and {{MATH_601}}. {{CMD_602}} {{ENV_603}} {{COMMENT_604}} {{COMMENT_605}} {{COMMENT_606}} {{COMMENT_607}} {{CMD_608}} {{CMD_609}} {{CMD_610}}