CBSE Class 12-science Maths Continuity and Differentiability
- 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]
