The equation of the lemniscate is $\"\"$ and the point $\"\"$ .

Slope of the tangent is derivative of the function at a particular point.

Find the derivative of the curve.

Consider $\"\"$ .

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

$\"\"$ .

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

$\"\"$

Substitute the point $\"\"$ in above expression.

$\"\"$

Slope of the tangent line at $\"\"$ is $\"\"$ .

Point-slope form of line equation: $\"\"$ .

Substitute $\"\"$ and $\"\"$ in point-slope formula.

$\"\"$

Equation of a tangent line is $\"\"$ .