Find the local maximum and  minimum values and saddle points of the function f(x, y) = y3 + 3x2y - 6x2 +2.

Find all the local minima, local maxima, and saddle points of the function f(x,y) = x² + 2y? - x²y.

4. Find all relative maxima, relative minima, and saddle points for the function: f(x,y)= 2x³ + xy² +5x² +y? .

g(a,b) = a²b-2a² - 4a + 2ab. Determine all the critical points of g. And determine the relative minimum, relative maximum, or saddle point at each critical points using the second derivatives test.

Find all the local maximum and minimum and saddle points, with their values, for the function f(x, y) = 13 x + 5 xy + 8 y + 99 x + 4 y + 17.

Determine all the relative minimum and maximum values, and saddle points of the function h defined by h(x, y) = 2³ – 3x + 3ry².

Find the maximum, minimum, and saddle point of the function f (x, y) = x³ — y³ – 3xy. Check for any absolute value.

Given f(x, y) = x³+y³-3x-3y. Locate all relative maxima, relative minima, and saddle points, if any. A. relative minimum: (-1,-1); relative maximum: (1, 1); saddle points: (-1,1) and (1,-1) B. relative minimum: (1, 1); relative maximum: (-1,-1); saddle points: (-1, 1) and (1,-1) C. relative minimum: (-1,-1); relative maximum: (1,1); saddle points: (-1,-1) and (1,1) D. relative minimum: (1, 1); relative maximum: (-1,-1); saddle points: (-1,-1) and (1,1)

Find the local maximum and minimum values and saddle point(s) of the function. f(x,y)=xy+64/x +64/y

Please help me understand how to do this. Taken from my textbook for precalc