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    lmichiko's Avatar
    lmichiko Posts: 1, Reputation: 1
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    #1

    Oct 24, 2010, 11:06 PM
    write an equation for the line tangent to the graph of f(x)= lnx/x at x=e^2?
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Oct 24, 2010, 11:49 PM



    The gradient of the graph is given by (Hint: use the quotient rule)

    The gradient of the graph at x = e^2 is given by

    The y coordinate at the point where x = e^2 is given by

    Now, you have the coordinates of a point and a gradient at that point. That is enough to find the equation of the tangent.

    Post what you get! :)
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