Discuss the Application and conclusion of Lagranges’s Mean Value Theorem on the function f (x) = |x| on interval [-1, 1].

f(1)=f(-1)=0 f`(0-)=d(-x)/dx=-1 f`(0+)=d(x)/dx=1 the function is not differential between -1 and 1 hence, the mean value theorem can`t be applied. Sher Mohammad B.Tech, IIT Delhi