Chapter 14.5, Problem 2CP

To determine

To calculate: The partial derivatives $\frac{\partial F}{\partial x}$, $\frac{\partial F}{\partial y}$ and $\frac{\partial F}{\partial \lambda }$ of the objective function $F\left(x,y,\lambda \right)$ of the function $f\left(x,y\right)=x^2+y^2-4xy$ subject to the constraint $x+y=10$.