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Matematikkens mysterier 8. Funktioner - KennethHansen.net

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<strong>8.</strong> <strong>Funktioner</strong><br />

<strong>8.</strong>0 Introduktion 2<br />

<strong>8.</strong>1 Trigonometriske funktioner 3<br />

<strong>8.</strong>2 Trigonometriske formler 7<br />

<strong>8.</strong>3 Additionsformlerne og de logaritmiske formler 11<br />

<strong>8.</strong>4 Differentiation af sin, cos og tan 15<br />

<strong>8.</strong>5 Arcus-funktionerne 19<br />

<strong>8.</strong>6 Svingninger 26<br />

<strong>8.</strong>7 Injektivitet, surjektivitet, bijektivitet. Omvendt funktion 32<br />

<strong>8.</strong>8 Monotoniforhold og ekstrema 37<br />

<strong>8.</strong>9 Middelværdisætningen 49<br />

<strong>8.</strong>10 Funktionsundersøgelse 52<br />

<strong>8.</strong>11 Optimering 57<br />

Facitliste 60<br />

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