Back to MEAN VALUES THEOREM
JEE MATHEMATICS MCQ: MEAN VALUES THEOREM
1
Easy
1 of 1
Understanding
+4 | -1
Let be the set of all functions which are continuous on [0,1] and differentiable on (0,1). Then for every in , there exists a depending on , such that
View answer and explanation
Correct option: A
Option A () is correct because it directly applies the Mean Value Theorem (MVT) or Lagrange's Mean Value Theorem (LMVT).
More Questions from MEAN VALUES THEOREM
Practice All Chapter MCQs →
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