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partial derivative vs first derivative

first derivative vs partial derivative

partial derivative and first derivative both are nouns.

Word NounAdjectiveVerbAdverb
partial derivative Yes No No No
first derivative Yes No No No
As nouns, first derivative is a hypernym of partial derivative; that is, first derivative is a word with a broader meaning than partial derivative:
  • partial derivative: the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant
  • first derivative: the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
Other hypernyms of partial derivative include derivative, derived function, differential, differential coefficient.
partial derivative (noun) first derivative (noun)
the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
Difference between partial derivative and first derivative

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