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Math Help - equation of a tangent

  1. #1
    Senior Member euclid2's Avatar
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    equation of a tangent

    For the function y=\sqrt{x} determine the equation of the tangent at the point on the graph where x=9
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  2. #2
    Junior Member
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    the gradient of that equation at x = 9 is just the derivitive

    gradient (m) = dy/dx = 0.5x^-0.5

    a tangent will have the form of y = mx + c

    and from the original equation can see that when x = 9, y = 3;

    using all these values you should be able to determing the equation

    For further help see

    Tangents and Normals
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