Question: (a) If the function f (x) = x 3 + ax 2 + bx has the local minimum value -2/9 3 at x = 1/3

(a) If the function f (x) = x³ + ax² + bx has the local minimum value -2/9√ 3 at x = 1/√3 , what are the values of a and b?
(b) Which of the tangent lines to the curve in part (a) has the smallest slope?

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