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Consider the polynomial function f ( x ) = x 5 3 x 3 + 4 x . Find the intervals on which f is

Consider the polynomial functionf(x) =x53x3+ 4x.

  1. Find the intervals on whichfis increasing.
  2. Find the intervals on whichfis decreasing.
  3. Find the open intervals on whichfis concave up.
  4. Find the open intervals on whichfis concave down.
  5. Find the local extreme values off.
  6. Find the global extreme values offon the closed, bounded interval[2, 2]
  7. Find the points of inflection off.

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