AP Calculus ABmediummcq1 pt

Which of the following is NOT a hypothesis of the Mean Value Theorem on $[a,b]$ ?

f

is continuous on

[a,b]

f

is differentiable on

(a,b)

f(a)=f(b)

f

is defined at every point of

[a,b]

Explanation

Core Concept

The MVT requires only continuity on $[a,b]$ and differentiability on $(a,b)$ . Equal endpoint values $f(a)=f(b)$ are the extra condition of Rolle's Theorem, not of the MVT.

Correct Answer

C $f(a)=f(b)$ .

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Which of the following is NOT a hypothesis of the Mean Value Theorem on [a,b][a,b][a,b]?

Explanation

Core Concept

Correct Answer

More Unit 5: Analytical Applications of Differentiation practice questions

Which of the following is NOT a hypothesis of the Mean Value Theorem on $[a,b]$ ?