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Math Help - Max Slope of Curve

  1. #1
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    Max Slope of Curve

    Could someone verify if I did this right.



    f(x)= -3x^2+6x+9
    f(x)= -6x+6
    0= -6(x-1)
    x=1
    f(1)=12
    therefore the max slope is 12
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by SportfreundeKeaneKent View Post
    Could someone verify if I did this right.



    f(x)= -3x^2+6x+9
    f(x)= -6x+6
    0= -6(x-1)
    x=1
    f(1)=12
    therefore the max slope is 12
    You have not justified the claim that this is a maximum, you have just
    found a stationary point for the slope.

    If f'''(1)<0, then this point will be a maximum for the slope

    f'''(1)<0 then it is a minimum

    f'''(1)=0 it is indeterminate and further work will be needed.

    RonL
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  3. #3
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    the largest slope

    the maximum slope
    Attached Thumbnails Attached Thumbnails Max Slope of Curve-06jun2007.jpg  
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