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Chain rule

Term · Meteorology and atmospheric science · MLC-T-MET-004244

A fundamental rule of calculus for differentiating a composite function, which is a function of another function. The rule states that the derivative of f(g(x)) is the derivative of f with respect to g multiplied by the derivative of g with respect to x. This principle is applied extensively in atmospheric models for tasks like coordinate transformations and calculating the total derivative of a variable following fluid motion.

Table 1. Record
IdentifierMLC-T-MET-004244
FieldMeteorology and atmospheric science
Record as JSON
{
  "id": "MLC-T-MET-004244",
  "term": "Chain rule",
  "field": "Meteorology and atmospheric science",
  "definition": "A fundamental rule of calculus for differentiating a composite function, which is a function of another function. The rule states that the derivative of f(g(x)) is the derivative of f with respect to g multiplied by the derivative of g with respect to x. This principle is applied extensively in atmospheric models for tasks like coordinate transformations and calculating the total derivative of a variable following fluid motion.",
  "url": "https://mlchart.com/terminology/meteorology/chain-rule/"
}

Record 1,597 of 10,816 in Meteorology and atmospheric science terminology (MLC-0110). Request the full dataset.