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Find the critical points and inflection points. Determine the local extrema and the intervals (using a sign chart) where the function is concave upward and

Find the critical points and inflection points. Determine the local extrema and the intervals (using a sign chart) where the function is concave upward and concave downward.

(a) f(x) = 4xe^(3x) (b) f(x)=xsin(x),x[/2, 3/2]

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