Understanding Optimal Values of F based on Derivative 'us'

This statement highlights the relationship between the optimal value of a function 'F' and the sign of its derivative 'us'. It states that the optimal value of 'F' can only be either zero or one, depending on whether the corresponding derivative 'us' is negative or positive respectively.

In simpler terms, if the derivative 'us' is negative, it means the function 'F' is decreasing at that point. Therefore, the optimal value of 'F' would be zero, as it represents the minimum point. Conversely, if the derivative 'us' is positive, it means the function 'F' is increasing at that point, and the optimal value of 'F' would be one, as it represents the maximum point.