At the critical point where {{MATH_370}}, the function {{MATH_371}} has {{CMD_372}} {{CMD_373}} {{CMD_374}}no local extremum, because {{MATH_375}} is increasing on {{MATH_376}} and increasing on {{MATH_377}}. {{CMD_378}} {{CMD_379}}a local maximum, because {{MATH_380}} is increasing on {{MATH_381}} and decreasing on {{MATH_382}}. {{CMD_383}} {{CMD_384}}a local minimum, because {{MATH_385}} is decreasing on {{MATH_386}} and increasing on {{MATH_387}}. {{CMD_388}} {{CMD_389}}no local extremum, because {{MATH_390}} is decreasing on {{MATH_391}} and decreasing on {{MATH_392}}. {{CMD_393}} {{CMD_394}} {{CMD_395}} {{CMD_396}} Select the correct statement about the sign of {{MATH_397}} on the intervals {{MATH_398}} and {{MATH_399}}. {{CMD_400}} {{CMD_401}} {{CMD_402}}{{MATH_403}} on {{MATH_404}} and {{MATH_405}} on {{MATH_406}}.{{CMD_407}} {{CMD_408}}{{MATH_409}} on {{MATH_410}} and {{MATH_411}} on {{MATH_412}}.{{CMD_413}} {{CMD_414}}{{MATH_415}} on {{MATH_416}} and {{MATH_417}} on {{MATH_418}}.{{CMD_419}} {{CMD_420}}{{MATH_421}} on {{MATH_422}} and {{MATH_423}} on {{MATH_424}}.{{CMD_425}} {{CMD_426}} {{CMD_427}} Again, the sign of the derivative on an interval determines whether the function is increasing or decreasing on that interval. This will help us determine whether the function has a local extremum at the critical point where {{MATH_428}}. {{CMD_429}} {{CMD_430}}