$\"\"$

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The vector valued function is $\"\"$ and $\"\"$ .

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The standard form of vector valued function is $\"\"$ .

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Compare the function with the above, then $\"\"$ and $\"\"$ .

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Find $\"\"$ .

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Substitute $\"\"$ in the vector valued function.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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

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$\"\"$

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$\"\"$

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$\"\"$

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Find $\"\"$ .

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Substitute $\"\"$ in the derivative of the vector valued function.

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Graph:

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Draw the coordinate plane.

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Plot the parametric curves $\"\"$ and $\"\"$ .

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Plot the vectors $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph:

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$\"\"$ is a tangent to the curve $\"\"$ .

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$\"\"$

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Graph of $\"\"$ is

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$\"\"$

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$\"\"$ is a tangent to the curve $\"\"$ .