Let $U$ and $V$ be non-empty open connected subsets of $\mathbb{C}$ and $f : U \longrightarrow V$ an analytic function. Which of the following statement(s) is/are true?\\
(A) $f^{\prime}(z) \neq 0$ for every $z \in U$.\\
(B) If $f$ is bijective, then $f^{\prime}(z) \neq 0$ for every $z \in U$.\\
(C) If $f^{\prime}(z) \neq 0$ for every $z \in U$, then $f$ is bijective.\\
(D) If $f^{\prime}(z) \neq 0$ for every $z \in U$, then $f$ is injective.