discuss the application and conclusion of Lagranges mean value theorem on the function f(x)=|x| on interval [-1,1]

if a functionfiscontinuouson theclosed interval[a,b], wherea<b, and differentiable on theopen interval(a,b), then there exists a pointcin (a,b) such that

but f(x)=mod(x) is not differentiable at x=0 so LMV theorem is not applicable in the given interval

Thanks & Regards

Parvez Ali

askIITians Faculty