Find all points (x, y) where f(x, y) has a possible relative maximum, minimum, or saddle point for the function f(x) = 0.5x²y² − 3x²y − 5. Which of the following steps could be used to identify these points?
a) Calculate the partial derivatives of f(x, y) and solve for critical points.
b) Find the indefinite integral of f(x, y) with respect to both x and y.
c) Evaluate the function at a single point and determine its behavior.
d) Substitute random values for x and y to observe changes in the function.