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Partial differentiation is a mathematical technique used to find the rate of change of a function with respect to one of its variables while holding all other variables constant.
Partial differentiation allows us to analyze complex functions by breaking them down into simpler parts. It is particularly useful in fields such as physics and economics where multiple variables are involved.
Ordinary differentiation involves finding the rate of change of a function with respect to a single variable, while partial differentiation involves finding the rate of change with respect to one variable while holding all others constant.
To perform partial differentiation, you must take the derivative of the function with respect to the variable of interest while treating all other variables as constants. This can be done using the standard rules of differentiation.
Partial differentiation is used in various fields of science and engineering, including physics, economics, and chemistry. It is particularly useful in analyzing systems with multiple variables, such as in optimization problems or in determining the rate of change of a physical quantity.