Q21Comprehension2 Marks28 Apr 2024PassageBased on the above data, answer the given subquestions. Let f(x, y) = x^3 - y^3 - 3(x + y^2).Choose the correct option(s) from the following:Af has a local minimum at the point (1,−2)(1, -2)(1,−2).Bf has a local maximum at the point (1,−2)(1, -2)(1,−2).Cf has a local maximum at the point (−1,0)(-1, 0)(−1,0).Df has a local maximum at the point (−1,−2)(-1, -2)(−1,−2).