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JEE MATHEMATICS MCQ: MEAN VALUES THEOREM
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+4 | -1
If satisfies the conditions for Rolle's theorem on , then equals
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Correct option: D
Option D (-4/3) is correct because integrating the function f(x) that satisfies Rolle's theorem conditions on [3,5] gives -4/3.
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If and are differentiable functions in such that 2 , then there exists such that
Assertion (A): If Rolle's theorem be applied in , then L.M.V. theorem is also applicable for .
Reason (R): Both Rolle's theorem & L.M.V. theorem can not be applied in in
The codes are given below, select the correct codes. Let be real valued function, then for The Rolle’s theorem is applicable in the interval for the function The value of c, in the Lagrange’s Mean value theorem for the function in the interval [0, 1/2], is If the functions and are continuous on and differentiable on then in the interval the equation
Assertion (A): If Rolle's theorem be applied in , then L.M.V. theorem is also applicable for .
Reason (R): Both Rolle's theorem & L.M.V. theorem can not be applied in in
The codes are given below, select the correct codes. Let be real valued function, then for The Rolle’s theorem is applicable in the interval for the function The value of c, in the Lagrange’s Mean value theorem for the function in the interval [0, 1/2], is If the functions and are continuous on and differentiable on then in the interval the equation