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JEE MATHEMATICS MCQ: MEAN VALUES THEOREM
1
Medium
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Analyzing
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Let be real valued function, then for
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Correct option: A
0
Option A is correct because the function simplifies to a constant value of 5 within the given interval, making its derivative zero.
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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. The Rolle’s theorem is applicable in the interval for the function If satisfies the conditions for Rolle's theorem on , then equals 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. The Rolle’s theorem is applicable in the interval for the function If satisfies the conditions for Rolle's theorem on , then equals 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