Find the first partial derivatives of the function 
Definitions:
Technology
The application of scientific knowledge for practical purposes, especially in industry and improvements in tools, machines, techniques, and processes.
Cultural Change
The modification of a society's cultural patterns over time, including changes in norms, values, practices, and symbols.
Cultural Diffusion
The spread of cultural beliefs and social activities from one group to another, blending cultures over time.
Symbolic Interactionism
A theoretical framework in sociology that emphasizes the importance of symbols and language as core elements of all human interaction.
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