$\"\"$

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The equation is $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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Power rule of the derivative : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Consider the point of tangency be $\"\"$ .

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Slope of the tangent line is the derivative of the equation at the point of tangency.

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$\"\"$ .

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

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Substitute $\"\"$ and point $\"\"$ in the point slope form.

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Tangent line of the equation : $\"\"$ .

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$\"\"$

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Tangent line of the equation : $\"\"$ .

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Find the $\"\"$ - intercept by substituting $\"\"$ in the tangent line equation.

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$\"\"$

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The $\"\"$ - intercept is $\"\"$ .

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Find the $\"\"$ - intercept by substituting $\"\"$ in the tangent line equation.

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$\"\"$

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The $\"\"$ - intercept is $\"\"$ .

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The sum of the $\"\"$ and $\"\"$ -intercepts is

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$\"\"$

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

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$\"\"$

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Therefore sum of the $\"\"$ and $\"\"$ intercepts is equal to the constant $\"\"$ .

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$\"\"$

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The sum of $\"\"$ and $\"\"$ intercepts of the tangent $\"\"$ is $\"\"$ .