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The function is $\"\"$ and the point is $\"\"$ .

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The slope of tangent is the derivative of the curve at the given point.

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$\"\"$

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Differentiate with respect to $\"\"$ on each side.

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$\"\"$

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Quotient rule of differentiation: $\"\"$ .

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$\"\"$

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Power rule of differentiation: $\"\"$ .

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$\"\"$

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The slope of the tangent line at $\"\"$ is

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$\"\"$

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The equation of the tangent at $\"\"$ :

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Point - Slope form: $\"\"$ .

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

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$\"\"$

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The equation of the tangent line is $\"\"$ .

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Let $\"\"$ are slopes of two lines.

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Two lines are perpendicular if and only if $\"\"$ .

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Normal line is perpendicular to the tangent line.

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Thus the product of their slopes is $\"\"$ .

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Consider the slope of the tangent line as $\"\"$ and slope of the normal line as $\"\"$ .

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Therefore , $\"\"$ .

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

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Point - Slope form: $\"\"$ .

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Find the equation of the normal line at $\"\"$ with slope $\"\"$ .

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$\"\"$

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The equation of the normal line is $\"\"$ .

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The equation of the tangent line is $\"\"$ .

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The equation of the normal line is $\"\"$ .