Mean Value Theorem Quiz

For a given planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints. (correct)

For a given planar arc between two endpoints, the tangent to the arc is never parallel to the secant through its endpoints.

For a given planar arc between two endpoints, the tangent to the arc is always parallel to the secant through its endpoints.

For a given planar arc between two endpoints, the tangent to the arc is perpendicular to the secant through its endpoints.

(a, b) (correct)

[a, b]

(a, b]

[a, b)

$f'(c) = \frac{b - a}{f(b) - f(a)}$

$f'(c) = \frac{f(b) + f(a)}{b + a}$

$f'(c) = \frac{b + a}{f(b) + f(a)}$

$f'(c) = \frac{f(b) - f(a)}{b - a}$ (correct)

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