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  1. Write the equations of the two lines tangent to the curve that have a slope of .    

    Set slope function equal to : and solve for . You should get two solutions.

    Evaluate at both values of . This will give you the two points of tangency.

    Write the equation of the two tangent lines in point-slope form.

  2. Determine the equations of the lines perpendicular to the tangent lines from part (a) at their points of tangency to .

    Perpendicular lines have negative reciprocal slopes.

Use the eTool below to examine the graph.
Click the link at right for the full version of the eTool: Calc 4-34 HW eTool