Solve the Problem $y = x ^ { 5 } - 4 x ^ { 4 } - 200$

Essay

Solve the problem.
-Find the inflection points (if any) on the graph of the function and the coordinates of the points on the graph whe function has a local maximum or local minimum value. Then graph the function in a region large enough to shor these points simultaneously. Add to your picture the graphs of the function's first and second derivatives.
$y = x ^ { 5 } - 4 x ^ { 4 } - 200$