optimization - How to find the dual function when the objective

When I try to compute the dual function by taking the derivative of the Lagrangian I just find the values of $\lambda_{1} = \frac{2}{3} $ and $\lambda_{2} = \frac{1}{3}$. Can anyone point me in the

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Ex 1: Determine a Dual Problem Given a Standard Minimization

5. Consider the optimization problem: min: f(x) +