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    Equation of tangent line to a curve

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    Find the equation of the tangent line to the graph of the function f(x) = x + (4/x) at the point (4, 5).

    © BrainMass Inc. brainmass.com December 24, 2021, 5:32 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/equation-of-tangent-line-to-a-curve-52876

    Solution Preview

    We will find the point-slope form of the equation of the tangent line to the graph of the function f(x) = x + (4/x) at the indicated point.

    The point-slope form of a line is y - y_0 = m*(x - x_0), where (x_0, y_0) are the coordinates of a specific point on the line and m is the slope of the line.

    The indicated ...

    Solution Summary

    The equation of the tangent line to the graph of the given function at the given point is provided, along with a detailed explanation of how it can be determined.

    $2.49

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