Question

define rolle's theorem for 2 marks​

Answer 1

rolles theorem states that

if any function is continuous and differentiable in given interval then there would be a point c which is diffrentisble

Answer 2

Ello user !!!!!!!

Here is your answer,

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In calculus, Rolle's theorem or Rolle's lemma essentially states that any real-valued differentiable function that attains equal values at two distinct points must have at least one stationary point somewhere between them—that is, a point where the first derivative is zero.

Rolle’s theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b.

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