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Compute the Third Derivative of the Following Function: F(z) = 32z2\frac { 3 } { 2 z - 2 }

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Short Answer

Compute the third derivative of the following function: f(z) = 32z2\frac { 3 } { 2 z - 2 } at z = 52\frac { 5 } { 2 } .
Enter just a reduced fraction of form ab\frac { a } { b } .


Definitions:

Existential Theories

Psychological theories centered on the human experience and the inherent search for meaning and purpose in life.

Structuralism

Structuralism is an approach in the fields of anthropology, sociology, and psychology, focusing on understanding the structure of the human mind and cultural constructs rather than the content.

Functionalism

A theoretical perspective in sociology and psychology that views society as a complex system whose parts work together to promote solidarity and stability.

Gestalt Psychology

A psychological approach emphasizing the organization of perception and thinking in a "whole" rather than on the individual elements.

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