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Derivatans grunder

Tio uppgifter om ändringskvot, tangentens lutning och deriveringsregler.

10 questions · Upper secondary · Mathematics

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The questions

  1. Vad anger f′(a) för grafen till funktionen f?

    • Tangentens lutning där x = a
    • Var grafen skär y-axeln
    • Arean under grafen fram till a
    • Funktionens värde där x = a
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    Tangentens lutning där x = a

  2. f′(a) är gränsvärdet av (f(a + h) − f(a))/h när h går mot ___.

    Write the answer

    Show the answer

    0 or noll

  3. Hur stor är ändringskvoten för f(x) = x² mellan x = 1 och x = 3?

    • 2
    • 8
    • 4
    • 6
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    4

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