$\"\"$

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

Consider $\"\"$ .

Apply derivative on each side with respect to $\"\"$ .

$\"\"$

Find the slope of the curve $\"\"$ at $\"\"$ .

$\"\"$

Slope of the curve is $\"\"$ .

Find the equation of the tangent line.

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

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

$\"\"$

The equation of the tangent line is $\"\"$ .