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Suppose the second derivative of f is given by f'' ( x ) = 15( x 3) 8 ( x 2 81). Determine the intervals

Suppose the second derivative of f is given by f''(x) = 15(x 3)8(x2 81). Determine the intervals of concavity of f. Enter your answer using interval notation. If an answer does not exist, enter DNE. f is concave up on _________ f is concave down on _____________

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