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inflection points

[ɪnˈflɛkʃən pɔɪnts]
nounpl: inflection points
pontos de inflexão
1. Points on a curve where the concavity changes from concave up to concave down or vice versa; in mathematics, where the second derivative equals zero and changes sign
The inflection points of the function f(x) = x³ occur where the second derivative changes sign.
Os pontos de inflexão da função f(x) = x³ ocorrem onde a segunda derivada muda de sinal.
2. Critical moments or turning points where a situation, trend, or trajectory undergoes a significant change in direction or character
The discovery of new evidence was one of the inflection points in the investigation.
A descoberta de novas evidências foi um dos pontos de inflexão na investigação.
Synonyms
turning pointscritical pointspivot points

Regional Variations

General Brazilian
pontos de inflexão
Standard term used in mathematics and business contexts
Portugal
pontos de inflexão
Standard term, same as Brazilian Portuguese
General Brazilian
pontos críticos
Alternative used in some contexts, though technically less precise

Related Idioms & Phrases

turning point
game changer
watershed moment
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