New Home Forums Math Olympiad - IOQM Differentiability

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  • #71893
    Shreya Nair
    Participant

    #73368
    Shirsendu Roy
    Spectator

    f'(x)f(x)<0

    caseI

    f(x)<0, f'(x)>0

    f(x) is increasing

    |f(x)| taken and found decreasing

    case II

    f(x)>0, f'(x)<0

    f(x) is decreasing

    |f(x)| taken and found decreasing

    so, |f(x)| must be decreasing.

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