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

question 370

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.
$y = x ^ { 5 } - 4 x ^ { 4 } - 200$

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Definitions:

Vienna Genesis

An early 6th-century illuminated manuscript, considered one of the oldest well-preserved pictorial works of biblical historiography, containing portions of the Book of Genesis.

Explanatory Labels

Informative texts accompanying artifacts or artworks in museums and galleries, providing context, background, and interpretative information to enhance understanding for viewers.

Interior Mosaic Program

The design and implementation of artistic mosaic works within the internal spaces of a structure, often depicting religious, cultural, or historical themes.

Saint Mark's

This term is likely referring to Saint Mark's Basilica, an iconic cathedral in Venice, Italy, known for its opulent design, golden mosaics, and significance in Byzantine and Venetian culture.