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Write the equation of the line that is:

  1. Tangent to the function at .

    Write the equation of the tangent line in point-slope form.

    We know that the point of tangency happens at . Evaluate the function, , to find the point.
    Evaluate the derivative, , to find the slope.

  2. Perpendicular to the tangent line in part (a) at .

    Definition: A 'normal line' is perpendicular to a tangent line at the point of tangency.