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Math Help - tangent curve...parallel equation

  1. #1
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    tangent curve...parallel equation

    Hey guys, I'm not really sure how I should approach this.. but I'm guessing this is very easy.

    Problem: Find the points on the curve y = 2x^3-3x^2-12x+20 where the tangent is parallel to the x-axis.

    Please help asap...
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  2. #2
    Super Member General's Avatar
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    Quote Originally Posted by kdl00 View Post
    Hey guys, I'm not really sure how I should approach this.. but I'm guessing this is very easy.

    Problem: Find the points on the curve y = 2x^3-3x^2-12x+20 where the tangent is parallel to the x-axis.

    Please help asap...
    If two lines are parallel then thier slopes are equal.
    the slope of the x-axis is 0.
    So, take the derivative of the equation of the curve and set it equal to 0.
    and solve this equation for x.
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  3. #3
    No one in Particular VonNemo19's Avatar
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    Detroit, MI
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    Quote Originally Posted by kdl00 View Post
    Hey guys, I'm not really sure how I should approach this.. but I'm guessing this is very easy.

    Problem: Find the points on the curve y = 2x^3-3x^2-12x+20 where the tangent is parallel to the x-axis.

    Please help asap...
    Tangent to the x axis implies that y'=0. So, find y', set is to 0 and solve.
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  4. #4
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    Quote Originally Posted by General View Post
    If two lines are parallel then thier slopes are equal.
    the slope of the x-axis is 0.
    So, take the derivative of the equation of the curve and set it equal to 0.
    and solve this equation for x.
    oh ok thank you. it was simple after all.
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