CBSE Class 12-science - Mean Value Theorems Videos
Rolle's and Mean Value Theorem
This video explains the Rolle's Theorem and its geometrical interpretation and also discusses the Lagrange's mean value Theorem and its geometrical interpretation.
- Discuss the applicability of Rolle’s theorem for the following function on the indicated interval: f(x) = |x| on [–1, 1]
- Discuss the applicability of Rolle’s theorem for the following function on the indicated interval : f (x) = 3 + (x – 2)2/3 on [1, 3]
- Discuss the applicability of Rolle’s theorem for the following function on the indicated interval: f (x) = tan x on [0, p]
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Discuss the applicability of Rolle’s theorem on the function f (x) =
- Verify Rolle’s theorem for the function f (x) = x2 – 5x + 6 on the interval [2, 3].
- Verify Rolle’s theorem for the function f (x) = (x – a)m (x – b)n on the interval [a, b], where m, n are positive integers.
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Verify Rolle’s theorem for the function f (x) =
on [– 2, 2].
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Verify Rolle's theorem for the function f (x) =
on [a, b], where 0 < a < b.
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Verify Rolle’s theorem for each of the following functions on indicated intervals : f(x) = sin x + cos x – on
- Verify Rolle's theorem for each of the following functions on indicated intervals : f (x) = sin x – sin 2 x on [0, p]
