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anonymous

  • 5 years ago

For the function y=x^3-6x^2+9x+1 , find the stationary points and classify their nature. "help"

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  1. amistre64
    • 5 years ago
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    stationary points?

  2. anonymous
    • 5 years ago
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    did you mean maxima and minima?

  3. amistre64
    • 5 years ago
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    i gots no idea what a stationary point it, but I would assume that their nature is to be stationary ..

  4. ash2326
    • 5 years ago
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    Stationary points are points where derivative is zero or slope is zero find dy/dx dy/dx=3x^2-12x+9 equate it to 0 3x^2-12x+9=0 x^2-4x+3=0 (x-1)(x-3)=0 x= 1 and x=3 are the two stationary points

  5. ash2326
    • 5 years ago
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    to classify them , let's find d^2y/dx^2 it comes out to be 6x-12 if d^2y/dx^2>0 it is a minima, if it's less than 0 then it is a point of maxima x=1 d^2y/dx^2=-6 so it's a point of maxima x=3 d^2y/dx^2=6 so it's a point of minima

  6. mattfeury
    • 5 years ago
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    Jacob, to respond to people, enter your response here in the reply field. Clicking 'Report Abuse' is for reporting inappropriate content or spam.

  7. anonymous
    • 5 years ago
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    Sorry !

  8. mattfeury
    • 5 years ago
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    No problem :).

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