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So far, we have only considered partial derivatives or directional derivatives for functions in multiple variables. In addition to these specific derivative concepts, there is also the total derivative. This total derivative is defined as a local approximation of a function f by a linear function and ultimately leads to the total differential, which allows a linearised error estimation.

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Total Differentiation, Differential Operators

  • 章节

  • 发表日期：

    2026年

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  • Christian Karpfinger

摘要

So far, we have only considered partial derivatives or directional derivatives for functions in multiple variables. In addition to these specific derivative concepts, there is also the total derivative. This total derivative is defined as a local approximation of a function f by a linear function and ultimately leads to the total differential, which allows a linearised error estimation.