Calculus I

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  • April 2, 2013 at 2:59 am #13239

    Ezra Halleck
    Participant

    Hint: 2 functions with the same derivative differ by a constant. Use some of the given information to find the constant.

    Another way to think of the hint is that given 2 functions with the same derivatives, then one is a vertical translate (shift) of the other. That translate is a constant which you must determine.

    April 12, 2013 at 8:21 pm #16815

    Danielle Telemaque
    Participant

    f(x)’ = g(x)’, [-4,5] ; f(-4)=2

    f(2)=3
    f(4)= -4
    g(2)=-3
    g(-3)=-2

    g(4)= ?…….. g(x) = f(x)+ c

    f(2) =3, g(2)=-3

    -3=3 + c, when g(x) = f(x)+ c
    c= -6

    g(4)=f(4)-6

    g(4)= -4-6
    = -10

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