\

Step 1 :

\

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

\

Apply derivative on each side with respect to t.

\

$\"\"$

\

Substitute $\"\"$ in above equation.

\

$\"\"$

\

Step 2 :

\

Find the magnitude $\"\"$ :

\

$\"\"$

\

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

\

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

\

$\"\"$

\

The tangent vector is $\"\"$

\

Solution :

\

The tangent vector is $\"\"$