The equation of the devils curve 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 $\"\"$ .

$\"\"$

Product 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 $\"\"$ .