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    ajone216's Avatar
    ajone216 Posts: 17, Reputation: 1
    New Member
    		  
    #1

    Oct 31, 2009, 10:04 PM
    Tangent Line
    Find g'(x) if g(x) = x^3e^-8x. What is the equation of the tangent line to the graph of g at
    the point on the curve with x-coordinate 1?

    I can get the derivative no problem. I just can't seem to get the equation of the tangent line.
    Nhatkiem's Avatar
    Nhatkiem Posts: 120, Reputation: 9
    Junior Member
    		  
    #2

    Oct 31, 2009, 10:47 PM

    If your looking for the equation of the tangent line of g(x), it IS g'(x)

    however if you are looking for instantaneous slope, the equation will be constant, taking on the form



    And the equation of the line it creates would be of the form

    (you know two coordinate points, x being 1 and y being g(1))
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