At the critical point where {{MATH_431}}, the function {{MATH_432}} has {{CMD_433}} {{CMD_434}} {{CMD_435}}no local extremum, because {{MATH_436}} is increasing on {{MATH_437}} and increasing on {{MATH_438}}. {{CMD_439}} {{CMD_440}}a local maximum, because {{MATH_441}} is increasing on {{MATH_442}} and decreasing on {{MATH_443}}. {{CMD_444}} {{CMD_445}}a local minimum, because {{MATH_446}} is decreasing on {{MATH_447}} and increasing on {{MATH_448}}. {{CMD_449}} {{CMD_450}}no local extremum, because {{MATH_451}} is decreasing on{{MATH_452}} and decreasing on {{MATH_453}}. {{CMD_454}} {{CMD_455}} {{CMD_456}} Do your answers agree with the graphs of {{MATH_457}} and {{MATH_458}} given in the picture below? {{CMD_459}} {{ENV_460}} {{COMMENT_461}} {{COMMENT_462}} {{CMD_463}} {{CMD_464}} {{CMD_465}}