Q5Comprehension5 Marks21 Dec 2025PassageBased on the above data, answer the given subquestions. Consider the function f:R2→Rf: \mathbb{R}^2 \to \mathbb{R}f:R2→R defined by f(x,y)=ex+yf(x, y) = e^{x+y}f(x,y)=ex+y, for all (x,y)∈R2(x, y) \in \mathbb{R}^2(x,y)∈R2.Which of the following is true for the given function f?Af is not continuous.Bf is continuous but all directional derivatives do not exist at all points.Cf is continuous and the directional derivatives exist at all points, but f is not differentiable.Df is a differentiable function.
