Conditions for Rolle's Theorem

Rarely Tested

Conditions for Rolle's Theorem

The three required conditions are:

$$f\text{ is continuous on }[a,b]$$

$$f\text{ is differentiable on }(a,b)$$

$$f(a)=f(b)$$

Usage

- Used to verify whether Rolle's theorem can be applied to a given function and interval.

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