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JEE MATHEMATICS MCQ: MEAN VALUES THEOREM
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The function satisfies all the conditions of Rolle's theorem in The value of is
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Correct option: C
The correct answer is C (-2) because applying Rolle's theorem requires finding a value where the derivative is zero, which leads to .
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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 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 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