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Lagrange Multipliers One Constraint Two Variable Opimization Examples
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Critical number is the point where the derivative is zero or undefined. Maximum occurs where the derivative changes from positive to negative. Minimum is at the point where the first derivative changes from negative to positive increasing to decreasing. Minimum is at a point where the derivative changes from decreasing to increasing. Second derivative can be used to confirm maximum or minimum at the critical point. Positive second derivative means minimum and negative means maximum.
Critical number is the point where the derivative is zero or undefined. Maximum occurs where the derivative changes from positive to negative. Minimum is at the point where the first derivative changes from negative to positive increasing to decreasing. Minimum is at a point where the derivative changes from decreasing to increasing. Second derivative can be used to confirm maximum or minimum at the critical point. Positive second derivative means minimum and negative means maximum.
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