$\"\"$

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The equation is $\"\"$ and $\"\"$ .

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Apply derivative on each side with respect to t.

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$\"\"$

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Substitute $\"\"$ in above equation.

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$\"\"$

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$\"\"$

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Find the magnitude $\"\"$ :

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$\"\"$

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The tangent vector at $\"\"$ is $\"\"$

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

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$\"\"$

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The tangent vector is $\"\"$

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$\"\"$

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The tangent vector is $\"\"$