Q.
In the interval [0,2], on which of the following function Lagrange's mean value theorem is not applicable?
2340
209
NTA AbhyasNTA Abhyas 2020Application of Derivatives
Report Error
Solution:
Note that LMVT is applicable in [a,b] if f(x) is continuous in [a,b] and differentiable in (a,b)
Since f(x)={1−x(1−x)2x<1x≥1 is non-differentiable at x=1, hence LMVT cannot be applied to it in [0,2]