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Urgent! Please help solve Given f(x)=x^3 use the Mean Value Theorem and find all point c , 0<c<2 , such that f(2)−f(0)=f′(c)(2−0)?

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  • fcas80
    Lv 7
    1 week ago

    f(x)=x^3,    f ' (x)=3x^2

    There is a c so that 3c^2 = (2^3 - 0^3)/(2-0) = 4

    3c^2 = 4

    c = (4/3)^(1/2)

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