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Forthefunction?(?)=?3 +3?2 +5 Construct a sign diagram for the first derivative. Show where ?(?) is increasing...

Forthefunction?(?)=?3 +3?2 +5

Construct a sign diagram for the first derivative. Show where ?(?) is increasing and decreasing. Determine the coordinates of all critical points (classify as local maximum, local minimum, or neither).

Construct a sign diagram for the second derivative. Show where ?(?) is concave up and concave down. Determine the coordinates of all inflection points (if any).

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