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first derivative vs curvature

curvature vs first derivative

first derivative and curvature both are nouns.

Word NounAdjectiveVerbAdverb
first derivative Yes No No No
curvature Yes No No No
As nouns, curvature is a hyponym of first derivative; that is, curvature is a word with a more specific, narrower meaning than first derivative:
  • first derivative: the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
  • curvature: the rate of change (at a point) of the angle between a curve and a tangent to the curve
Other hyponyms of first derivative include partial, partial derivative.
first derivative (noun) curvature (noun)
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx the rate of change (at a point) of the angle between a curve and a tangent to the curve
the property possessed by the curving of a line or surface
(medicine) a curving or bending; often abnormal
Difference between first derivative and curvature

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