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anonymous

  • one year ago

Help with a math problem?

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  1. alekos
    • one year ago
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    the tangent line occurs at the vertex of the this particular function which happens to be a parabola

  2. anonymous
    • one year ago
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    Okay so first I would have to derive my equation right?

  3. johnweldon1993
    • one year ago
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    Correct^

  4. anonymous
    • one year ago
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    So I would get 9x-3 and then what would I do?

  5. johnweldon1993
    • one year ago
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    Well from there...you want a tangent line that is horizontal...and since a tangent line is the slope at any given point...that would mean the slope would be 0 right? So if we have the derivative of the function...we need to find where the derivative = 0

  6. anonymous
    • one year ago
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    So it would be -3 at 0

  7. johnweldon1993
    • one year ago
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    No I mean we have the derivative...and we want the derivative to equal 0 \[\large 9x - 3 = 0\] solve for 'x' :)

  8. anonymous
    • one year ago
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    Oh my bad to it would be 3/9.

  9. johnweldon1993
    • one year ago
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    Mmhmm...or 1/3 right :P So that means that at x = 1/3 ...we will have a horizontal tangent line

  10. anonymous
    • one year ago
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    And if I wanted to find the equation for the tangent line at 2 would i just plug in 2 into my derived equation?

  11. johnweldon1993
    • one year ago
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    But we probably should figure out where that will be in terms of 'y' now... So plug in your x = 1/3 into your original equation and solve for 'y'

  12. anonymous
    • one year ago
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    I got 1.5

  13. johnweldon1993
    • one year ago
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    Good...so just to finish up the first question At (1/3 , 1.5) there will be a horizontal tangent line

  14. johnweldon1993
    • one year ago
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    And as far as your second question...yes you would just plug in x = 2 and solve for y in your derived ezpression

  15. johnweldon1993
    • one year ago
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    Cant spell apparently >.< "expression"

  16. anonymous
    • one year ago
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    Okay thank you so much!

  17. johnweldon1993
    • one year ago
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    No problem! :)

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