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Math Help - Slope of a secant line

  1. #1
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    f ' (x) 4 step process

    When you do the f ' (x) what exactly does this represent?
    Last edited by oregon88; May 10th 2010 at 10:21 PM.
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  2. #2
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    Quote Originally Posted by oregon88 View Post
    When you do the f ' (x) what exactly does this represent?
    If y = f(x), y will change to y + Δy, when x changes to x + Δx
    So y + Δy = f(x + Δx)

    Increment on the function is given by

    Δy = f(x + Δx) - f(x)

    Increment of the function with respect to x is given by

    Δy/Δx =[ f(x + Δx) - f(x)]/Δx

    f'(x) is the limit of the above expression as Δx tends to zero.

    Interpretation of f'(x) depends on the nature of the function. If function represents a curve, f'(x) is the slope at a given point.
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