The function is .

Point on the graph of the function is .

If then .

Point is .

Consider .

Apply derivative on each side with respect to .

Substitute in the above equation.

.

Slope of the tangent line is .

Point - slope form of line equation is .

Substitute and in the point slope form.

The tangent line equation is .

The Area of the triangle formed by the  tangent line passing through is ,

where is the -intercept and b is the -intercept.

The tangent line equation is .

Find the -intercept.

To find -intercept, substitute in the line equation.

-intercept is .

Find the -intercept.

To find -intercept, substitute in the line equation.

-intercept is .

Area of the triangle formed by the tangent line passing through is

Area of the triangle is .

Area of the triangle formed by the  tangent line passing through is .