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Math Help - finding stationary points using differentiation

  1. #1
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    finding stationary points using differentiation

    hi im not sure if this is in the right place


    curve is y=(2-x)(x+1)^2

    show that one stationary point is at x=-1

    find the coordinates if both stationary points


    any help much appreciated
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by mannilea View Post
    hi im not sure if this is in the right place


    curve is y=(2-x)(x+1)^2

    show that one stationary point is at x=-1

    find the coordinates if both stationary points


    any help much appreciated
    differentiating this function would be a good starting point. use the differentiation shortcuts to find f'(x), then set it equal to zero or undefined. Because this is a polynomial, all you need to do is set f'(x) equal to zero because it is never undefined.

    I hope this helps you get started.
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  3. #3
    MHF Contributor

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    By the way, you should not need to multiply it out before differentiating. Use the "product rule".

    Hint: after differentiating, you will be able to factor out an (x+ 1).
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