Consider the function and its second derivative. h(x) = x(x-4)1/3 7x2 - 24x 3(x - 4)2/3 a) Determine the intervals on which / is concave up and concave down. b) Identify any inflection points. Your solution should show your understanding of . finding possible points of inflection analytically . creating and using a sign chart; completing a sign chart by hand with a calculator for com- putation . using a sign chart to determine inflection points