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Math Help - derivative by curves

  1. #1
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    derivative by curves

    please help dont understand it
    Attached Thumbnails Attached Thumbnails derivative by curves-image1.jpg  
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  2. #2
    Member Glaysher's Avatar
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    b is iv

    Lines give constant gradients
    Positive then negative then positive gradients

    a is ii

    Has two stationary points, places where gradient is zero

    d is iii

    Three stationary points

    c is i

    One stationarypoint

    Descriptions of when gradient is positive or negative will do for a second reason for each
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  3. #3
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    This should get you started. Look at graph (b).
    The ‘sharp corners’ at say –1 & 1 mean no derivative there.
    Between them the slope is negative, but positive other wise.
    There is only one graph that can be. Which one?

    Look at (a). That graph has negative until say x=-2, positive slope until x=2 then negative again.
    What graph matches that description?
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