Find All the Local Maxima, Local Minima, and Saddle Points

question 132

Multiple Choice

Find all the local maxima, local minima, and saddle points of the function.
-f(x, y) = 10xy(x + y) + 4

• A) f(10, 0) = 4, local minimum; f(0, 10) = 4, local minimum
• B) f(0, 0) = 4, test is inconclusive
• C) f(10, 10) = 20,004, local maximum
• D) f(0, 0) = 4, saddle point; f(10, 10) = 20,004, local maximum

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