Question: Use FTC I to prove that if |'(x)| K for x [a, b], then |'(x) (a)| K|x a| for x

Use FTC I to prove that if |ƒ'(x)| ≤ K for x ∈ [a, b], then |ƒ'(x) − ƒ(a)| ≤ K|x − a| for x ∈ [a, b].

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