#Totalderivative #audioversity
~~~ Total derivative ~~~
Title: What is Total derivative?, Explain Total derivative, Define Total derivative
Created on: 2018-11-20
Source Link: [ Ссылка ]
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Description: In mathematics, the total derivative of a function f {\displaystyle f} is the best linear approximation of the value of the function with respect to its arguments. Unlike partial derivatives, the total derivative approximates the function with respect to all of its arguments, not just a single one. In many situations, this is the same as considering all partial derivatives simultaneously. The term "total derivative" is primarily used when f {\displaystyle f} is a function of several variables, because when f {\displaystyle f} is a function of a single variable, the total derivative is the same as the derivative of the function."Total derivative" is sometimes also used as a synonym for the material derivative in fluid mechanics.
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