$\"\"$

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The equation of tractrix is $\"\"$ , $\"\"$ .

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From(113):

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$\"\"$ .

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Slope of the tangent is derivative of the function at the given point.

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Let the point $\"\"$ is $\"\"$ .

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$\"\"$ .

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Slope of the tangent line is $\"\"$ .

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Point-slope form of line equation is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the above equation.

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The tangent line is $\"\"$ .

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The tangent line intersects the $\"\"$ -axis at point $\"\"$ $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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The distance between $\"\"$ $\"\"$ and $\"\"$ $\"\"$ is $\"\"$ .

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The distance between $\"\"$ and $\"\"$ is $\"\"$ .

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$\"\"$

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The distance between $\"\"$ and $\"\"$ is $\"\"$ .