Hello, pita!

is a point on the parabola:

A tangent is drawn at point cuts x-axis and y-axis to form a triangle.

Find the coordinates of that will minimize the area of the triangle.

The point P has coordinates: .

The derivative is: .

The tangent at has slope: .

The tangent at has the equation: .

. . which simplifies to: .

The area of the triangle is: .

Therefore: . .is the function to be maximized.