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JEE MATHEMATICS MCQ: MEAN VALUES THEOREM
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Let then a number c of the Lagrange's mean value theorem is
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Correct option: A
The correct answer is A () because applying Lagrange's Mean Value Theorem to the function leads to .
More Questions from MEAN VALUES THEOREM
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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 Rolleβs 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
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 Rolleβs 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