If a and B Are Constants And $g ( x ) = \left( \alpha x ^ { 2 } + b \right) ^ { 2 }$

question 57

Essay

If a and b are constants and $g ( x ) = \left( \alpha x ^ { 2 } + b \right) ^ { 2 }$ , find $g ^ { \text {ttt} } ( x )$ .

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Definitions:

Neo-Platonism

An ancient school of philosophy based on the ideas of Plato, revived during the Renaissance and modified by the teachings of Christianity.

Giuliano and Lorenzo de' Medici

Members of the prominent Medici family in Florence, Italy, who played significant roles in the politics, culture, and banking of the Renaissance period.

Pesaro Madonna

A Renaissance painting by Italian artist Titian, depicting the Madonna and Child with saints, known for its innovative composition and use of color.

High Renaissance

High Renaissance represents a period in the late 15th and early 16th centuries in Italy, characterized by significant advancements in art and architecture, with figures such as Leonardo da Vinci, Michelangelo, and Raphael.