--- title: Stationære punkter og monotoni description: Lær stationære punkter, voksende og aftagende funktioner samt lokale ekstrema med differentialregning. url: https://astra-ai.co/da/videos/differentialregning/stationaere-punkter-og-voksende-aftagende-funktioner/ locale: da type: video-chapter keywords: - stationære punkter published: 2026-10-01T19:58:17.233Z updated: 2026-10-01T19:58:17.233Z alternates: id: https://astra-ai.co/id/videos/turunan/titik-stasioner-fungsi-naik-dan-turun/ fr: https://astra-ai.co/fr/videos/la-derivee/points-stationnaires-et-sens-de-variation/ pl: https://astra-ai.co/pl/videos/pochodne/punkty-stacjonarne-funkcje-rosnace-malejace/ it: https://astra-ai.co/it/videos/derivate/punti-stazionari-funzioni-crescenti-decrescenti/ de: https://astra-ai.co/de/videos/ableitungen/stationre-punkte-aufsteigend-absteigend/ en: https://astra-ai.co/videos/derivatives/stationary-points-increasing-decreasing-functions/ es: https://astra-ai.co/es/videos/derivadas/puntos-estacionarios/ sl: https://astra-ai.co/sl/videos/odvodi/stacionarne-tocke/ fi: https://astra-ai.co/fi/videos/derivaatat/stationaariset-pisteet-seka-kasvavat-ja-vahenevat-funktiot/ hr: https://astra-ai.co/hr/videos/derivacije/stacionarne-tocke/ pt: https://astra-ai.co/pt/videos/derivadas/pontos-estacionarios/ nl: https://astra-ai.co/nl/videos/derivaten/stationaire-punten/ el: https://astra-ai.co/el/videos/paragogoi/stathera-simeia-kai-ayxouses-fthinouses-synartiseis/ zh-HK: https://astra-ai.co/zh-HK/videos/shuxue-kecheng-013/shuxue-zhang-038/ da: https://astra-ai.co/da/videos/differentialregning/stationaere-punkter-og-voksende-aftagende-funktioner/ bg: https://astra-ai.co/bg/videos/derivati/statsionarni-tochki/ cs: https://astra-ai.co/cs/videos/derivaty/stacionarni-body/ et: https://astra-ai.co/et/videos/tuletised/statsionaarsed-punktid-ning-kasvavad-ja-kahanevad-funktsioonid/ ja: https://astra-ai.co/ja/videos/derivatives-ja/32/ hu: https://astra-ai.co/hu/videos/derivaltak/stacionarius-pontok-novekvo-es-csokkeno-fuggvenyek/ uk: https://astra-ai.co/uk/videos/uk-topic-13/uk-chapter-38/ sk: https://astra-ai.co/sk/videos/derivacie/kapitola-032/ vi: https://astra-ai.co/vi/videos/vi-topic-13/vi-chapter-38/ sv: https://astra-ai.co/sv/videos/derivator/stationara-punkter-vaxande-och-avtagande-funktioner/ ko: https://astra-ai.co/ko/videos/derivatives-ko/32/ no: https://astra-ai.co/no/videos/deriverte/stasjon-re-punkter-voksende-avtakende-funksjoner/ ro: https://astra-ai.co/ro/videos/derivate/puncte-stationare-functii-crescatoare-descrescatoare/ sr: https://astra-ai.co/sr/videos/izvodi/poglavlje-032/ lt: https://astra-ai.co/lt/videos/isvestines/stacionarieji-taskai-didejanti-mazejanti-funkcija/ lv: https://astra-ai.co/lv/videos/atvasinajumi/stacionarie-punkti-augosa-dilstosa-funkcija/ tr: https://astra-ai.co/tr/videos/turevler/bolum-032/ km: https://astra-ai.co/km/videos/derivatives/chapter-3c240780/ th: https://astra-ai.co/th/videos/anuphan/bot-38-chut-ning-fangchan-phoem-lot/ ms: https://astra-ai.co/ms/videos/terbitan/bab-38-matematik-asas/ zh-TW: https://astra-ai.co/zh-TW/videos/derivatives/chapter-3c240780/ lo: https://astra-ai.co/lo/videos/lo-d351a5ea/lo-3c240780/ my: https://astra-ai.co/my/videos/my-d351a5ea/my-3c240780/ es-AR: https://astra-ai.co/es-AR/videos/derivadas/capitulo-32/ br: https://astra-ai.co/br/videos/derivadas/capitulo-matematica-038/ ms-BN: https://astra-ai.co/ms-BN/videos/terbitan/bab-3c240780/ es-CL: https://astra-ai.co/es-CL/videos/derivadas/capitulo-32/ en-IN: https://astra-ai.co/en-IN/videos/derivatives/chapter-3c240780/ mx: https://astra-ai.co/mx/videos/derivadas/capitulo-32/ es-PE: https://astra-ai.co/es-PE/videos/derivadas/capitulo-video-3c240780/ en-PH: https://astra-ai.co/en-PH/videos/derivatives/chapter-3c240780/ pt-TL: https://astra-ai.co/pt-TL/videos/derivadas/capitulo-de-video-032/ --- # Stationære punkter og voksende/aftagende funktioner > Kapitlet bruger den afledte til at finde stationære punkter og afgøre, hvor en funktion vokser eller aftager. ## Stationære punkter og voksende/aftagende funktioner Et stationært punkt har afledt lig med nul. ## Fortegn Den afledtes fortegn viser, hvor funktionen vokser eller aftager. ## Klassifikation Vi skelner mellem lokale maksimums- og minimumspunkter.