# Smallest Area of a Triangle Formed from the Tangent Line of a Parabola

Author

Roop Pal

License

Creative Commons CC BY 4.0

Abstract

This problem is an applied optimization problem. The problem is to minimize
the area of the triangle formed by a tangent line to the function *y = ^{1}⁄_{9} x^{2}*.
The triangle is defined by the origin, the x-intercept of the tangent line, and the
y-intercept of the tangent line. Only triangles formed in the first quadrant are
of concern.