$\"\"$

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

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

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$\"\"$

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Find slope.

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Substitute $\"\"$ in the derivative function.

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$\"\"$

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The slope of the function is $\"\"$ .

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Find tangent line.

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The line equation is $\"\"$

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Substitute point $\"\"$ and slope $\"\"$ in the line equation.

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$\"\"$

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The tangent line is $\"\"$ .

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$\"\"$

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Find intersection point.

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Graph:

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Graph the function $\"\"$ and the tangent line $\"\"$ .

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$\"\"$

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Observe the graph:

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The intersection point is $\"\"$ .

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Find area of region.

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Area of the region is $\"\"$ .

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$\"\"$

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$\"\"$

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Area of the region is $\"\"$ sq-units.

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$\"\"$

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Area of the region is $\"\"$ sq-units.