Question

Prove....
.....
...
...ROLLE"S THEORAM​

Answer 1

Proof of Rolle's Theorem!

One of these occurs at a point c with a < c < b, Since f(x) is differentiable on (a,b) and c is an extremum we then conclude that f '(c) = 0. or.

Both the maximum and minimum occur at endpoints. Since f(a) = f(b), this means that the function is never larger or smaller than f(a).

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Answer 2

ROLLE'S THEOREM

One of these occurs at a point c with a < c < b, Since f(x) is differentiable on (a,b) and c is an extremum we then conclude that f '(c) = 0. or.

Both the maximum and minimum occur at endpoints. Since f(a) = f(b), this means that the function is never larger or smaller than f(a).

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