Analysis II HT23, Constancy theorem
Flashcards
@State the constancy theorem.
Let $f : I \to \mathbb R$ be a function defined on an interval with $f'(x) = 0$ for all $x \in I$. Then $f$ is constant on $I$.
Proofs
@Prove the constancy theorem:
Let $f : I \to \mathbb R$ be a function defined on an interval with $f'(x) = 0$ for all $x \in I$. Then $f$ is constant on $I$.
Todo.