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    ineedcalchelp's Avatar
    ineedcalchelp Posts: 5, Reputation: 1
    New Member
     
    #1

    Sep 27, 2007, 06:38 PM
    finding vertical tangent line
    how do you find a vertical tangent line of the function when x = (?)

    (x^3) - xy + (y^3) = 10
    Vi Nguyen's Avatar
    Vi Nguyen Posts: 48, Reputation: 2
    Junior Member
     
    #2

    Apr 19, 2009, 04:35 AM
    Use implicite differentiation to get the derivative of the function, also re-arrange the original equation to make y the subject and sub that in for y in the differentiated equation. Now that you have the gradient function in terms of x, for a verticle tangent the denominator of the function has to be zero as the gradient is infinite. So find the values for x to make the denominator equal to zero and you have your x values, sub into original equation to find the y points and Voilą!! Hope that helps ;p

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