Question: Graph f(x) = 3x2/3 x. (The 2/3 is an exponent on the x.) a. Compute the first derivative. Make a sign chart (as demonstrated in

Graph f(x) = 3x2/3 x. (The 2/3 is an exponent on the x.)

a. Compute the first derivative. Make a sign chart (as demonstrated in lecture) to indicate the intervals of increase and decrease. Find any local maximum and minimum values. b. Compute the second derivative. Make a sign chart (as demonstrated in lecture) to indicate the intervals of concavity. Find any inflection points. c. Sketch a neat and accurate graph using your sign charts from parts a. and b. Use graph paper or a ruler to make axes. Be sure to mark the scale on the axes. Neatness and accuracy count for points!

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