Let f(x) =Find the critical points c that correspond to local minima.(Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if thereare no critical points.)C =DNEIncorrectFind the critical points c that correspond to local maxima.(Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if thereare no critical points.)DNE Find the values at which the points of inflection occur.O Attempt 1(Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if thereare no inflection points.)X=DNEIncorrectDetermine the interval on which f is concave up.(Use symbolic notation and fractiors where needed. Give your answer as interval in the form (*, *). Use the symbol o forinfinity, U for combining intervals, and an appropriate type of parenthesis "(". ")", "[". "]" depending on whether the interval isopen or closed. Enter Ø if the interval is empty.)DNEIncorrectQuestion Sours

The given function is fx=xx2+57.

Find the critical points c that correspond to local minima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) C = DNE Incorrect Find the critical points c that correspond to local maxima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) DNE