Q 36. Let $\Omega \subset \mathbb{R}^n$ be an open set and $f: \Omega \to \mathbb{R}$ be a differentiable function such that $(Df)(x) = 0$ for all $x \in \Omega$. Then which of the following is true A. $f$ must be a constant function B. $f$ must be a constant on connected components of $\Omega$ C. $f(x) = 0$ or $1$ for all $x \in \Omega$ D. The range of the function $f$ is a subset of $\mathbb{N}$
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