Question

Let f: [a, b]R be a continuous function on [a, b] and differentiable on (a, b), then there exists some e in (a, b) such that
$f'(c) = \frac{f(b)-f(a)}{b-a}$
This theorem in named

• A. Mean value theorem
• B. Roll's theorem
• C. Central limit theorem
• D. Binomial theorem

Answer 1

Answer: (A)

Mean value theorem

Answer 2

The correct option is(A): Mean value theorem