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

Question

Quizplus · Accepted Answer

The point (0, 0) results in a value of 4, but the second derivative test is inconclusive, meaning it cannot be classified as a local minimum, maximum, or saddle point based on the given information.

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