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  1. #1
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    maxima and minima question

    Find the local maxima and minima, and all the inflection points, of
    y
    = 9x^4 11x^3 + 3x^2 + 1

    how would i start off by doing this question? thank u


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  2. #2
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    Quote Originally Posted by jvignacio View Post
    Find the local maxima and minima, and all the inflection points, of



    y
    = 9x^4 11x^3 + 3x^2 + 1

    how would i start off by doing this question? thank u



    x-coordinates of local maxima and minima: Solve \frac{dy}{dx} = 0. Use the double derivative test (or the sign test) to determine the nature of the stationary points.


    If you want NON-stationary points of inflection as well, solve \frac{d^2y}{dx^2} = 0. Points of inflection for y occur where \frac{dy}{dx} has either a maximum or a minimum turning point.

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