Class 12

Math

Calculus

Application of Derivatives

The tangent to the parabola $y=x_{2}$ has been drawn so that the abscissa $x_{0}$ of the point of tangency belongs to the interval [1,2]. Find $x_{0}$ for which the triangle bounded by the tangent, the axis of ordinates, and the straight line $y=x02$ has the greatest area.