Find values at which the points of inflection occur.(Use symbolic notation and fractions where needed. Give your answer as a comma separated list. Enter DNE if there are nopoints of inflection.)x =Determine the interval on which f is concave up.(Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol co forinfinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "I", "]" depending on whether the interval isopen or closed. Enter Ø if the interval is empty.) Let f(x) = 5x²(x – 10) + 8.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 =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 thereare no critical points.)C =

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Let f(x) = 5x2(x – 10) + 8. 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 = 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.) c =