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    Solve: Finding an Equation of a Tangent Line

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    Find an equation of the line tangent to the curve y = (sqrt)x - 2/x at x = 4.

    Make sure to show all steps.

    © BrainMass Inc. brainmass.com March 4, 2021, 7:58 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/solve-finding-an-equation-of-a-tangent-line-135902

    Solution Preview

    Hi, here is the solution...

    y = (sqrt)x - 2/x

    Now, we need to find the dy/dx

    dy/dx = 1/2(sqrt)x -2(-1)x^-2

    dy/dx = ...

    Solution Summary

    This solution provides a step by step response which illustrates how to solve for the tangent line. All calculations are included within the response.

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