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    The curve with equation y = (2x + 1)(x
    2 – k), where k is a constant, has a stationary
    point where x = 1.

    (a) I have worked out that K = 4

    (b) Find the coordinates of the stationary points and determine the nature of each

    I thought I could do this but it is for 8 marks so I am not sure what I need to gain those marks

    Thank youuu
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    For the coordinates you just put x=1 back into the original equation. Find out if there are any other stationary points and if there are any then find the coordinates of that one in the same way

    For the nature of them, find the second differential (dy2/d2x) and substitute the x-values of the stationary points into it.
    If dy2/d2x is greater than zero, then it is a minimum point. If it is less than zero then it is a maximum point
 
 
 
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