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Math Help - Local Linear Approximation

  1. #1
    Junior Member
    Joined
    Aug 2009
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    Local Linear Approximation

    The local linear approximation of a function f will always be less than or equal to the function's value if, for all x in an interval containing the point of tangency:

    a. f' > 0
    b. f' < 0
    c. f" > 0
    d. f" < 0
    e. f' = f" = 0

    I have no idea what the answer is so I'd appreciate it if someone could please give me a detailed explanation.
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  2. #2
    Newbie
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    Sep 2009
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    c. f''>0

    this is because the graph must be concave up in order for the linear approximation to be less than the actual function
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