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Guys in the following optimisation problem why are we not considering the partial derivate of K and L in the Lagrangian in the first two equations

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when you are taking the partial derivative of the Lagrangian wrt l you are taking the other variables as constants, so they are derived away. You cannot do this with f(k,l) as this is a function with a l input

the same applies to the partial derivative of the Lagrangian wrt k

refer back to the rules of partial differentiation

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