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Solve the Problem y=x315x2y = x ^ { 3 } - 15 x ^ { 2 }

Question 219

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=x315x2y = x ^ { 3 } - 15 x ^ { 2 }

Correct Answer:

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The zeros of blured image and blured image are extrema...

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